In this activity, we will explore the meaning of the formula from the Pythagorean Theorem through a geometrical construction like the one below.[br][img]data:image/png;base64,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[/img][br]Let's get started![br][br]First, choose the [i]text tool [/i]and click on the construction area to open a text box. Title your sketch [i]The Pythagorean Theorem: [/i][math]a^2+b^2=c^2[/math]. [br][br]In order to see what the title will look like—which is helpful when writing formulas—use the extended text box by clicking on the [i]Advanced[/i] option.
1. On the toolbar, select the [i]segment tool[/i]. You may construct one on the work area by clicking on two separate places that will become the ends of the segment. You may then use the [i]arrow (move) tool[/i] to click on an endpoint and make the segment larger or smaller. [br][br]2. Label the endpoints T and R. Do this by clicking on the [i]text tool[/i] and clicking on the endpoints of the segment. Most likely, the labels were A and B. You can relabel them T and R by right-clicking on the label and accessing the settings and changing the label name at the top of the menu. This box allows you to type in any label you wish–including phrases! Try a few and also try out the settings menu to try different colors and styles. Changes are saved automatically when you exit this menu.[br][br]3. There are many ways to construct a square. We will construct it using rotation. Select the [br][i]Rotate around Point[/i] tool from the transformations section of the menu. Click on point T to select it as the rotating point and then on R to select it as the center of rotation. Type in 90 degrees. Repeat using a new center of rotation until a square results.[br][br]4. Construct the interior of the square by clicking on the vertices with the Polygon tool selected. Note that you will need to click on the first vertex again to close the shape for GeoGebra to understand that the polygon is finished. [br][br]Note: Alternatively, you can select the Regular Polygon tool and create a segment on the work area. Then, type the number of vertices you want your polygon to have (4 for a square) and the shape will be constructed automatically.[br]
1. Construct a segment. Select the [i]Perpendicular Line[/i] tool and click on an endpoint and the segment.[br][br]2. Place a point on this line by selecting the [i]point[/i] tool and clicking where you want to place it. Connect it with the other endpoint of the segment.[br][br]3. Construct all the segments that make the sides of the triangle by selecting the [i]segment[/i] tool and clicking on each pair of vertices.[br][br]4. Select the [i]Show/Hide Object[/i] tool and click on the perpendicular line to hide it.[br][br]5. Use the Polygon tool and click on the vertices of the triangle to construct its interior.[br][br]6. Select the [i]Distance[/i] [i]or Length [/i]tool from the Measure section of the menu and click on each side of the triangle for their lengths to appear.[br][br]7. Construct a square on a side of the triangle. You should get a square whose side lengths equal the length of the side between the vertices selected. Repeat this for all 3 sides of the triangle.[br][list=1][br][/list]You should have constructed something like this:[br][img]data:image/png;base64,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[/img][br][br][br]
1. Measure the area of each square by using the [i]Area[/i] tool in the Measure section of the [br]menu.[br][br]2. Use the Algebra menu to calculate the sum of the areas of the two small squares. (In [br]the example, we called the squares [i]sq2[/i] and [i]sq3[/i] so we just had to type [i]sq2 + sq3[/i]). Then, [br]click and drag the result to the work area for it to appear next to the construction.[br][br][img]data:image/png;base64,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[/img][br]3. Under the Algebra menu again, use the calculator to square the length of each side.[br][br]4. Re-label each as “a squared,” “b squared,” and “c squared” as appropriate. Do this by [br]right-clicking on the three dots by the calculation to open a menu and select Settings. [br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnsAAAC2CAYAAACh3UvUAAAgAElEQVR4Ae2dd3RU57nus1bWyV3JvSnn/hPn5OTe2F43iVOck2KnOY5jJ7bjxImPbWyaKTZFVAOmCVNNb6aZYsBU02yKwRgwGDCmN4EaEuoVJCGh3lB57no+2GIQI2k0mhntPfPMWntptGfP3t/+fe/M/Pb7lf0l6CECIiACIiACIiACIhC0BL4UtGemExMBERABERABERABEYBkT0EgAiIgAiIgAiIgAkFMQLIXxJWrUxMBERABERABERAByZ5iQAREQAREQAREQASCmIBkL4grV6cmAiIgAiIgAiIgApI9xYAIiIAIiIAIiIAIBDEByV4QV65OTQREQAREQAREQAQ8lr1XO5yDFjFQDCgGFAOKgVCMgXfmnsLJkydx5swZmYMIOI6Ax7L3WocIaBEDxYBiQDGgGAjFGFgy7wxOnz6N8+fPO+6HXgUWAY9lr9dLF6FFDBQDigHFgGIgFGNg6fxzOHv2LC5cuCBzEAHHEfBY9nq/HAktYqAYUAwoBhQDoRgDyxacx7lz5xAZGem4H3oVWARaIXtR6P2yFjFQDCgGFAOKgdCLgWULIkwTblRUlMxBBBxHQLIngZXEKwYUA4oBxUALMSDZc5zfqMAuBCR7LXzAdQUfelfwqnPVuWJAMdA4Bih7ERERiI6OdvkJ1VMRcAYByZ5kT1f0igHFgGJAMdBCDEj2nCE1KqV7ApK9Fj7gja/u9L+u+BUDigHFQOjFgGTPvURorTMISPYke7qiVwwoBhQDioEWYkCy5wypUSndE5DstfAB1xV86F3Bq85V54oBxUDjGJDsuZcIrXUGAcmeZE9X9IoBxYBiQDHQQgxI9pwhNSqlewKSvRY+4I2v7vS/rvgVA4oBxUDoxYBkz71EaK0zCEj2JHu6olcMKAYUA4qBFmJAsucMqVEp3ROQ7LXwAdcVfOhdwavOVeeKAcVA4xiQ7LmXCK11BgHJnmRPV/SKAcWAYkAx0EIMSPacITUqpXsCkr0WPuCNr+70v674FQOKAcVA6MWAZM+9RGitMwhI9iR7QXVFP6BbNEb2u4QJwy9jSnhiq5ZJIxMwemAcBnaLDiomFJN+XaIxsHsMBrwSfOcm8Qo98WqPOpfsOUNqVEr3BCR7kr2gEhsK27ZNVxAbVYKr2VWtWpIul2HPR7mYEp4QVEz4wxg+MA4zxifhrZHBd27t8cOvY4aeYEr23EuE1jqDgGRPshdUYrNlbTYuRZUgM72iVaJHMczOqERsZAk+fP9KUDGhmKxekoHTxwqxZ0cu+nQMvR9qyZnqvK0xINlzhtSolO4JSPYke0ElNvt25iIrvQIXzxVj8ey0Vi1njhciI60Chz/NDyomE0ck4MAn15CecpPLrAlJGNhdzblt/fHX+0NLICV77iVCa51BQLIn2QsqsflszzWT0Tt6qKDV5/Xpx3nmvSeOXG/1e+36w9+3cxQ2rc5G9IWbzdopieXY//E1hA+KU4ZPn33nxnlH9kONwuCeMejbKTDSKdlzhtSolO4JSPb0he/cL3w3dSfZu/3DF9Y5CmMGx4EZy7SUCmSkVpjMZVpyBRZMT8HgHjFBVfd2FW6V63ZM+orF66/FmL61jOPhYbEBET7JnnuJ0FpnEJDsuREGX30haT++/5Jvialk7zbzYb0vYfvGq0iIK0N8TAkunitCfGwJsjMrcWD3NTNSuSWeev02T7GwB4v+XaMxb2oyIs8XI/lyGZbMScXrr/r/wkWy5wypUSndE5DsSfaCKrsj2bv5g8wmrqljEpFwqQxZGZX4ZEcuFs1Kxfrlmeb/lKRyrFqSiUHd/f8jKUmyhyQFQz0wrpe+nYbTx64jNbkcURHFmDkhEf26+p+xZM+9RGitMwhI9iR7QSl7l2NLsXt7bqsWjsTlqFwn9dljn7xRAy5h/rQUrFmWiY+25DSc86F9+SaLF32hGEvnpWFor1i8NSrBDF7hQJQjn+Xj7SkpQVX/wSA0Ogf34kbRWzYvDcc/L0BifBkiThdhydxUDOsTG5D+p5I9Z0iNSumegGRPshdUP/ZWZq+1c+y5bu8U2eMkyTPHJ+GDddk4dqjADMKgxPFcmM3j8ytZlaa5a/GcVDOhMvs6rV+RhbiYEvODuWPzVQx5NTaoYkCy5F6WHMul482BGAtnpODEF9dNt4TTxwvx3jvpZlR5oKYSkuy5lwitdQYByZ5kL6h+6C3ZS00qx7mTRWZJTiw3AsRmn4Z1CU2vs7vs8ceNdwqZOSEJn+/PR1pyOZITyhF1oQQRZ4rMjyFlj6LH+QY5IGPXhzmYPCrB/DgO6RULjlbmgI1TR69j7uRk9Nbce0H1OXCs2Ln5PmZ/vLlvJSPibBH4WT57ssjMGxmIpltXjpI9Z0iNSumegGTPzZeL6wdcz52VJbBkz3XqFc4xx2zXscO3p2PZv/vmuuOf355mxSlTr1D02B/v3Kkik727fKkULDvXDesdayaFTk4oQ2ZaBeKiS5CRVo70lHIc3JuPicNv3kHjvXcyTDMY5947erAAHLmrWBcDu8UAb/M3b2oKoiJuDiyKuVhsmnLZpBvoskr23EuE1jqDgGRPshfwL01/fkkHu+xxTrHxw+Jx7mShyegxC7liYTpG9Ltksn3zpyaDAsus3YUzRZg8OsFk9dgfkf2c9u/OQ59OURgRdgmfbMsxEy3ztXdmBWZEoz/rXvsOvAD5mzm7KRz4JK+hSwLvBDM87FK7fGdJ9pwhNSqlewKSPcleu3xx+utHwpK9+NhSIzlsvrQGXriui7k1GINZMW7DJeai/QdoDO0Vg6Vvp5ofv0vRJWZQhvXjx2zHx1tzcPlSGaIuFOP997IQ1iUKE964bM6P6yMjijE5PAGDesSA/fg4qjEtpdwIIiUyUP2f/FX/2m9wCR/v6bzhvSzTNYFTBu3/OA/TxiYGZF69xrEk2XMvEVrrDAKSPcleUMqe64CL1j63c5+9SSMuY+/OXNMfb9+uPEwaebNZdsAr0Zg2JqGhafbAnjyMHRrfULcL2Ln9yHUkxJdi4+osvNEnFqMHxmHzmmyTIUxPrTAZQq5v/COn/4NLoJxUn8xkTxh+GRxIdDmuFNbF2ZTwhIALn2TPGVKjUronINmT7AXVj7uV2eOgBU7NwIW3CKPwuV9Xcdd2dpY9TrFyKabUyN7i2almJC2zcaP6x2HfzjwzySwHp+zZkYtxwy43LO/MTsXBfddMFo8jGt+enGxeW700A0nxN/fHfo6zJyaZZl4nCYHKGtwyym4HI/tfMhc5cbEUvjLs+SgXb74eF1Dhk+y5lwitdQYByZ5kLyhlj+JCCeLiOkDDWuc6QMNa54QBGpxQlqNsuUx9M9EMrOj/SpQZmZuVcXOqFet1Nnu5LtZ6/m1qPZvMeL9RCVRwC5TT6pef0UE9os3k4Ox7mpxYhsOfXsPQ3jEB63og2XOG1KiU7glI9iR7QfXDbmX2gnU07rJ56SZLyUylJXts0jq075oRuNY2WTfe/syJQiydmxZUMeE0sVF53Ys2hY/3et6+6QriY0rNgCN2V2AzLycX9zc3yZ57idBaZxCQ7En2/P4l6e8vYdf9W7IXF1Nq7ibBO0pYAy84QIP/N7Uu2gEDNDhqls20zM7Nn55iBlpwgAabdzkqt6ll89ps02ePEy1fOFeMTauz3G7LW6qNf+NyUMWEa3zouf+lyJ+M2Ydv4ojL2LrhCvgZv3C22AzY4EAkfx6X+5bsOUNqVEr3BCR7kj2/f0n6+0vYdf+W7DXOWLXmfzv32ZsxLhEnjhQY2eMP3puv3x6E4cqh8fOpYxLAAR1Jl8uwY8tVM1VL4230v/+FQYzbzvjmoI14bFl3xSzM9rFfn7/ZSvbcS4TWOoOAZE+y5/cvSX9/Cbvu35K9tJQKcw/Yi+eKTSaMsuduHScV5jZcUpJuDuSws+xxfjwOqmD/vMjzxeAgDU6y7Mqg8XO+vnJROs6fLkJsVAnmT09Wvzx97puNmcYxZLf/KXeMay5s3g1E+SR7zpAaldI9AcmevvQD8kUZiC9jHsOSPd4tI6xLtFka1n1+e501aOP4kesN23HCYUqhnWWPd7rgPHlsyqXwsa/erIlJzdbhzAmJOHoo39xR4+yJQgx5LSYgmZBA1bmOExjZCXXOkj33EqG1ziAg2ZPsNSsKTvuCt8QuWAdosD54r9BFM1NMZi8xrgwnj17HxlXZGDc03mTs2Mw1uEcMpoQnYt3yTDNxcmJ8qbkf7uxJSQGdrsJp8aPyShybigHJnjOkRqV0T0CyJ9kLKtnj/HK8VRg7b2/fdNUs1sCLO9ZduHm3DI7qs7bjXSd4Nwlm/Zr6wrfDejZhUfjYNHv2eKFpfo6+UGKymru35ZgJaHknjc/35xsh5DyDXxzKN02+vHOGHc5BZZBUOS0GJHvuJUJrnUFAsifZC6off/ZnO3eq0EhbawZlcNvMtJsTLK97N9MRTIb2ijUjag/uvWb64yUnsmm30jRFU3jjY8vMaEXeW3ThzBQM7a27YzhNMFRe+0ixZM8ZUqNSuicg2ZPsOUJsPP3Re3NIPNYsyzB91KIiitGahfeJ3bI2G7xHrKfHa+/tOOUE7x+6ZG4aLOnjOZ/84jp2fphjZHBEv0tqutXn3DEx3d6fqaaOL9lzLxFa6wwCkj39CATVjwBH5nEQQ/+u0ej/SiuXrtEI6xy40X1N/ai0dj3Pmf30+rmec9do9OsSHZDJZltbXm1vn2yV6sLzupDsOUNqVEr3BCR7kr2gkj39eHn+4yVWYqUY8DwGJHvuJUJrnUFAsifZk+wpBhQDigHFQAsxINlzhtSolO4JSPZa+IDrytfzK1+xEivFgGIgWGNAsudeIrTWGQQke5I9XdErBhQDigHFQAsxINlzhtSolO4JSPZa+IAH61WqzksZGMWAYkAx4HkMSPbcS4TWOoOAZE+ypyt6xYBiQDGgGGghBiR7zpAaldI9AcleCx9wXfl6fuXrS1bT3kzEB+uuOGqZPSlZP5j6PCkGgjQGJHvuJUJrnUFAshekX0y+FK/22Nf7K7PMnSBaexeM9tyet11rD1Y6ZvtckIh7aHGX7DlDalRK9wQke5I9WwqKZC+0fkglTqpvu8eAZM+9RGitMwhI9iR7kr3sKp9kEZXZk7DYXVhUPu9jVLLnDKlRKd0TkOxJ9mwpeyP7x2Hm+CRHLeGD4mzJUj/w3v/Ai53YWTEg2XMvEVrrDAKSPcmeBEUxoBhQDCgGWogByZ4zpEaldE9AstfCB9y6qtNfXeErBhQDioHQjQHJnnuJ0FpnEJDsSfZ0Ra8YUAwoBhQDLcSAZM8ZUqNSuicg2WvhA64r+dC9klfdq+4VA4oBKwYke+4lQmudQUCyJ9nTFb1iQDGgGFAMtBADkj1nSI1K6Z6AZK+FD7h1Vae/usJXDCgGFAOhGwOSPfcSobXOICDZk+zpil4xoBhQDCgGWogByZ4zpEaldE9AstfCB1xX8qF7Ja+6V90rBhQDVgxI9txLhNY6g4BkT7KnK3rFgGJAMaAYaCEGJHvOkBqV0j0ByV4LH3Drqk5/dYWvGFAMKAZCNwYke+4lQmudQcBj2dux+Srstmxak4Z1KxJsVy67cVJ57Be7qhPViWLAfzHwwboMbF6b5tPl0z2xiIiIQHR0tDN+3VVKEXAh4LHsubzHNk8LCwuRlZVlm/KoICIgAiIgAu1PoKysDMXFxT5dUlJSJHvtX7UqgZcEJHtegtPbREAEREAE7ElAsmfPelGp2o+AZK/92OvIIiACIiACfiAg2fMDVO3S0QQke46uPhVeBERABESgMQHJXmMi+j/UCXgse9evX4fdlitXriAtLc125bIbJ5XHfrGrOlGdBGsMVIwfj/ZaLKbsz60+e6GuNzp/VwIey152djbstqSnp4OdZu1WLpXHfrGiOlGdKAYCEwP40pfQXotVxwUFBZI91196PQ95Ah7Lnh1JaTSuHWtFZRIBEQhpAu0oexZ3NeNaJPRXBG4SkOwpEkRABERABHxHwJK9UaOAykr/LzyOdcxbZyHZ8111ak/BQUCyFxz1qLMQAREQAXsQsMRrwoTAlIfHsY5564ieyt6GDRtw8OBBj5p8Nc9eYKpTR/EPAcmef7hqryIgAiIQmgQs8bKx7F29ehXbt29HWFgYxo0bh0OHDrUofJK90AznYDlryV6w1KTOQwREQATsQMDmsse7Lu3fvx+dOnXCc889Z5YRI0bg/PnzaG5gh2TPDsGlMnhLQLLnLTm9TwREQARE4G4CNpY9yty+ffsaJM+SPf7t2bMnEhMTzVRe7qZtkezdXdVa4xwCkj3n1JVKKgIiIAL2J2Bj2duyZYuROlfJs54///zz6Nu3L06fPu22SVeyZ//QUwmbJiDZa5qNXhEBERABEWgtAS9kj5MhnzlzBrt27TJNrJwwv7q62rMjt2KARlRUFPbs2dPskpqaKtnzjLy2chAByZ6DKktFFQEREAHbE/BC9k6dOoVly5ZhwoQJmD59Onbv3o38/HzPTrUVsueuedbTdcrseVYd2sqeBCR79qwXlUoEREAEnEnAC9lbt24dxo4di5EjR2L06NGYNm0aeIckjx6SPY8waaPQJiDZC+3619mLgAiIgG8JeCF7q1evxpgxYxpkb8aMGZI939aK9hbiBCR7IR4AOn0REAER8CkBL2QvPj4e69evx5QpUzBv3jwzSKKkpMSzYimz5xknbRXSBCR7IV39OnkREAER8DEBL2SvvLwcHBgRGRmJS5cuoaioCDU1NZ4VTLLnGSdtFdIEJHshXf06eREQARHwMQEvZK9NJZDstQmf3hwaBCR7oVHPOksREAERCAwBL2SP06xwwuPs7GzwVmYVFRWoq6vzrLz+lL2sLFSOG4fyVaug0bieVYe2sicByZ4960WlEgEREAFnEvBC9ngLs61bt5pRuIsWLUJcXBzYtOvRwx+yd0vy6v7934EvfQkVc+ZI9jyqDG1kVwKSPbvWjMolAiIgAk4k4IXsffTRR0b0wsPDMW7cOCxevNhk+Tw6fV/KXna2yeRZkkfRk+x5VAvayOYEJHs2ryAVTwREQAQcRcAL2Ws89UrA59mj5I0fj8aSZ8ledY8eyPrkE8Rt3ozErVuBixdDe6mqclRIqrCAZE9RIAIiIAIi4DsCXsjep59+irlz55qJlSdPnoyNGzciNzfXszK1JbPXguRZsqe/NzOcDRxiYz2rG21lGwKSPdtUhQoiAiIgAkFAwAvZy8vLw8GDB7Fq1Sps2bLFTMNSWVnpGQwvZa989eomM3kNUmOdi/6a5uwGLpI9z2LTRltJ9mxUGSqKCIiACDiegCVGlDAPH/X19XC3ePR2L2Wv+Pp1VCxbhtr77rtTZKzy62/TXCR7HoWmnTaS7NmpNlQWWxDgFBCHDh1CWVmZLcqjQoiAowhYktQK2WvT+Xkre8XFKOZC6Xv3XdTef3+TclP/5S+jqHt35HbsiPwuXYDBg0N7yclpU5XpzYEnINkLPHMd0aYEONfXF198gYkTJ2LUqFHmPp1sVorVVaxNa0zFsiUBL2SvsLAQERER2LdvHw4fPoycnBzw8+jRo62y54H0aeoVj2pCG9mYgGTPxpWjogWWQExMDJYsWYI33ngDCxcuxKuvvorOnTube3YGtiQ6mgg4mIAXsnf27FksX77cXGjNnDnTSB8z7B49fCV7zUifZM+jmtBGNiYg2fNB5XCm9xs3boAdivnX45nffXBs7cJ3BD744AOsXbsWly9fNvflpPx169bN/ABVaaoB34HWnoKbgBeyt27dOjMSd+TIkRg9erSZcy89Pd0zTr6WPVfpW77cNO9K9jyrCm1lXwKSPR/UDZsbeIsfygFngve4+cEHx9YufEcgMzPTNB+57nHEiBHgkpSU5Lpaz0VABJoi4IXsvffee+CEyraSPRfpK0lK0h00mqpvrXcEAcleG6qJo8f279+PYcOG4cknn8Rjjz2GDh064KmnnkKfPn3AWeFD4bF3716EhYWZfm5OPl9m7yxRr6mpwYkTJ0zdsmnX42kgnAxAZRcBXxDwQvZ4ocysOufY43x7x48fN4MnPCqOvzJ7luzd+qt743pUG9rIpgQke15WTElJiZGBjh07GsHjVemKFSvw/vvvY86cORgyZAg4K3woPNavX48//vGPeO6554LidHlPzujoaCN6s2fPxrlz54LivHQSIhAQAl7IXmlpKRITE8G+e5GRkbh+/brpSuFReSV7HmHSRqFNQLLnZf1nZ2ebfiW/+tWvMGHCBMTHx5s9MdvHkWWcuoNXp6HwCCbZ43QrHBXI2zUNHjwYn332GfhDpIcIiICHBLyQPQ/37H4zyZ57LlorAi4EJHsuMFrzNDk5GT179sSLL74I3urHiQ8OJGFzJQW1LY9gkT021TKr8Pbbb+Of//ynkXVmcPUQARFoBQHJXitgaVMRCAwByZ6XnNPS0kzm529/+xs+/vhjL/fSvm+j3OTn57d59HCwyN6lS5cwadIkdO3aFRcvXgSbc9sqwu1bwzq6CLQDAcleO0DXIUWgeQKSvUZ82IzHH3p2Fh46dCi6dOmCAQMGmHs2crQmp1bhg3NAbd68GQ899JCZj2379u3mfo6NdnfHvxUVFTh9+jTefPNN08dt4MCB2Lp1q5nbrUePHg19VDIyMsz9IdmUyMyb9UhISDDbvv766w2jQzn5KDOLixYtwqBBg0z/wddeew1Lly41/V+szBT7nQ0fPtzMZbVnzx7zl/vnDcetaUU4IIFN0s8//7xZON8VM12uD0ou5Y5MKEWcdJjb2b3PHstN1uxb+de//hX9+/fHmjVrzAhq6/zY1/Ivf/kLnnjiCZO17devH1hHy5YtM9OxWNvprwiIQDMEJHvNwNFLItA+BCR7jbhfuXLFTKhLgZk1axamTp1qBls8/vjj4KhTa6JPClJqaqqRgt/+9rfg67169cL8+fONqHGuNkuieAhKIjOAFDUOZKBQsU8Y79TwzDPP4MEHH2wQSb6XGSZKh+s+Lly4YKYB4bGioqJMyePi4swxKWksKxdKHScE5nQGnBKGD/Y9YxaSosm54yhqY8eOBcWPI1B5E/Jx48aZUcTjx48HF57P4sWLQclk+SlMfA9HHHfq1MmIEKWYI3F/8IMfeDVAg+WidHm6bNq0yZSV4tyax8mTJzFjxgxTp5S6t956y8g8B2BYjyNHjpgBNpR43ozdWo4ePYrc3FxrM/0VARFojoBkrzk6ek0E2oWAZK8Rdv6oUzw++eQTsFmPQrdjxw788Ic/BMWA4mM92Odt165dRuD+/ve/m4zRs88+a6SKUwi4juLkvvr27Ys///nPJnvG2wJx2hZK3W9+85u7ZI/zTf30pz9tUfYoYNu2bcPu3btNlooDR7hv9idk9o3iyAelipJI0WQZKX2UV76fgstMFyWQI4o5xQAXCiRHFVN6eA9Jih3L+tJLL5nsHm8txlGrFNj77rvPK9njPlkWSqQlmc39pcwym8jytObBcjKzR0lm8/X58+cNH9Ybz981g9qa/WpbERCBRgQke42A6F8RaH8Ckr1m6oD9tWpra430UXCYwXI3wraoqMhMG3DgwAGTPfrZz36G+++/30iM1e+LGbJHHnnECBUHd1h9wThql1myxpm9pmSPWTvXzF7j4rO8nLOKmatf/vKXpimX21D2Hn74YXz1q1812TpO/swHm60ph2yOZjMwJYjNyFwovWxeZsaPQvTCCy/gT3/60123D2tLnz2OYj5z5ow5LpuMuVDImlqY3WQZXTOejRk0979Vp3l5eaZJ9yc/+YkRdqu5u7n36jUREAEPCEj2PICkTUQgsAQke83wpjhxvic2ATL79I9//MNk/Bq/xRIINnWyeZHy8/vf/940z7IfHF9n5opZJDYNc7+W7LEZlvdi9ZXscdoXyh7vM/m1r30Nn3/+uSkuZe8Pf/gDHnjgASOs1i3duD23pcix2ZhNvWxW5sK+bffee6/J5PHWRcw0MivIbKbroy2yRxbMqnHhc08Wbmvxcy2HJ8953jzn2NhY0wz9/e9/3wg6B6roIQIi4AMClux17QrwzjP+Xngc65i3is+LWGb/fbloUmUfxIZ20W4EJHuN0LNPHmWGHfm7d+9uFjZxMuv19NNPm+bSRm+5419KCJuCmQVkZo1ZMQoGM23spzdv3rw7tmczK2/H5a3ssbyHDx82EwCz6ZaZOJaXgzT+7d/+7Q7Zo7zxzh7WnIAsCMVn5cqV5q4fbHrmHHOuCzOZbALl4BTKIvsCMhvp+miL7Lnux5/P2aTOZmkKN9mwryR5UPY4UEWy50/62ndIEbDEqz3+3gIt2QupiNPJekBAsucCiVk5ZvF4uzP2r2OHfvYPowwx+8asF/vG8cFBDWzatEbnWruh7LFZl/3lfv7znxtppOzxRt8UDfaBY7bQyky1RvaYJaTQ8bZs1gANju6l3L388ssma8i7djBTx2bgr3zlK3fInjVAg1eo1oPNl+yTyEEmzF5azbvW6yw7s21s9mTZeV6N5xX0Rva4T44kPnbsmMmWso+k68KBI1zYr5ALm5q58NiU29YM0CDjd99915R94sSJpk4p9JQ+yZ5V0/orAj4i0B6SZx3z1ilI9nxUl9pN0BCQ7LlUpSU+X/7yl0EpoCSwbxj7ibFfHaflsGSPoscmWY7UZP823mWBHf8pMBzVyYEQjz76qJE8ih37pbEZmFOUcKAAB1Iwm8T9sT+ga2aPgyY4SOFHP/qRyahRLCmIHInK/nrsN2fJHkf4ssm4d+/epmmS50ABpJw2zuy5kz2eHzN3LEO3bt3MdDIsG/sashwUTPaR4/lRCjmKlyOVOVCF68iBGUE28bbmdmlsimW2kELHW8w1XjZs2GCmheE5c+EIWWuU7M6dO01fQ5eqa/Yp+1Iye8qpdNhfkj8ELDeFWLLXLDq9KAKtJ7BuHdBey63SSo1DZ24AABDaSURBVPZaX216R3ATkOy51C/Fh02U3/72t00zH6WNIsRsGfuu/e53v2uQPTZ13nPPPXjllVfMnHbMNlHoKC3MgLHJk02m7JNH2bt27ZrJLH3ve98zsmaN+KWAcNoSV9mjsC1ZssSMAGZGkH3w2OeOcsJsISXSkj0el83DnTt3NmVjpmzBggXm+OyzxxGzfPD97mTPOn2O6GV52XTNbCYznMyGsdmW4ssMJvvtWcLKZmnumwLGdWTGKVns+GA5OWKY5eMIaM6jyBHG7KdI9mrGtWOtqUwi4D0ByZ737PTO4CQg2XOpV0oZs1qWLHFULQWJ/fUoWnxuZfaYlaPo8HZpnHbkm9/8Jr71rW/h61//On7961+bJlFmxazBBGwOpYhxbj2O1OXCQRCc843rXGWP21rZwW984xvmNYoKJZLSwulbLNljdozNqOx/xuwam3i5P+6XGUBm5fhoSfYoumwuZYbwxz/+sTknyhCbsllusmHTK7dhv0BORcPjsfmYZerYsSNGjx7tQtM+T1mnFFjW33e+8x0j7RRbZjIpqpI9+9SVSiICviAg2fMFRe0jmAhI9hrVJptM2W/t1KlTJnPFbB3nyEtMTDTixL5rfDDTxefMErEplf36Fi5caLKAHAGblJR011xwHBnGpmFmmrjN2bNnjUg1HqDB/XPgBPfNTBS3ZyaRAyv4fr6P2T8+KGmcOJkDELgdM3IsL7NwXGfNR0c5pfjxPJrq78bBHhylyv0ww8ljcp5B9kG0HmxOZqaR23BhEzfLxQwo923HB+uUwsfzp/Rag05YZpaffRi5jR4iIALBQUCyFxz1qLPwHQHJng9YUp7YTEuhoDAxm+fpg/LmTvY8fb+2EwEREAERuJOAZO9OHvpPBCR77RwDkr12rgAdXgREIOgISPaCrkp1Qm0kINlrI8C2vp2jQ3kLsCeffPKuaVzaum+9XwREQARCkYBkLxRrXefcHAHJXnN0AvAam3w5hQmbfzkIQg8REAEREIG2EZDstY2f3h18BCR7wVenOiMREAERCGkCkr2Qrn6dvBsCkj03ULRKBERABETAuQQke86tO5XcPwQke/7hqr2KgAiIgAi0EwHJXjuB12FtS0CyZ9uqUcFEQAREQAS8ISDZ84aa3hPMBCR7wVy7OjcREAERCEECkr0QrHSdcrMEJHvN4tGLIiACIiACTiMg2XNajam8/iYg2fM3Ye1fBERABEQgoAQkewHFrYM5gIBkzwGVpCKKgAiIgAh4TkCy5zkrbRkaBCR7oVHPOksREAERCBkCkr2QqWqdqIcEJHsegtJmIiACIiACziAg2XNGPamUgSMg2Qscax1JBERABEQgAAQkewGArEM4ioBkz1HVpcKKgAiIgAi0RECy1xIhvR5qBCR7oVbjOl8REAERCHICkr0gr2CdXqsJSPZajUxvEAEREAERsDMByZ6da0dlaw8Ckr32oK5jioAIiIAI+I2AZM9vaLVjhxKQ7Dm04lRsERABERAB9wQke+65aG3oEpDshW7d68xFQAREICgJSPaCslp1Um0gINlrAzy9VQREQAREwH4EJHv2qxOVqH0JSPbal7+OLgIiIAIi4GMCkj0fA9XuHE9Asuf4KtQJiIAIiIAIuBKQ7LnS0HMRACR7igIREAEREIGgIiDZC6rq1Mn4gIBkzwcQtQsREAEREAH7EJDs2acuVBJ7EJDs2aMeVAoREAEREAEfEZDs+QikdhM0BCR7jqrKetTXW0sLBa+vBxq25Xua2N7T7Zp4u1aLgAiIgN0ISPbsViMqT3sTkOy1dw206vi1qKuvRlVNPeqakjdrf/V1QE0VykpLUFxahfIq64VGf+tqgapilJcWo7yiCjdqG72uf0VABETAYQQkew6rMBXX7wQke35H7IMD3KhARUEqEk5sxe7V07E9rhrXypvabzWKsyJxZtMcjOoxFOHhYzF29CBMnbcAGyOLUV1Td/ONdaXITzmDQ6tmYPSgYRg3LhyjB4/CmLFLsfpoJgqqa1HT1CFura+rKkVR1Da8v3I+ps+cfteydOtnOJJU1sJe9LIIiIAI+JaAZM+3PLU35xOQ7Nm5Dm+UA1fP4oMt7+PdVfMxN/wVDPvb7zH5SAUyit0VvBoFiUdwYOMshA8fiaH9xmPazLmYO3McFi1fge3RJbdkrxLX4j/DZ+9Px6TxExA+ejJmz5mFGWOGY/irfdBv8DRsvHgNOWXNp/lqy64hZ9cQdOnZFX/vHoaho0dipMsyY/XH2BdX4q6gWicCIiACfiMg2fMbWu3YoQQke3auuMoCIGYtevcLQ4cBr+G1F57AK/f+BG997l72aosTcfi9cLzRvxdeXnAUyaU1qLqVyAP/MlVnmn+LEb97Ad6bPgKTdsUjr6IGJuFXlYqYHZMQ/sj38MTiizib1WT60FCrLctFztbueOzVEeg+ZwsOnzuLsy5LZEIGsgpv2JmwyiYCIhCEBCR7QVipOqU2EZDstQlfIN+cgsg1YzHl3p9gyl2yR4OrR9EXczCi3xt4aeSHiCirR02dNZjj7gEaBSmpyIy7DCYIb3f/q8fVi5uwbvR/4H9N+hQHkgubPcEG2RswF6O2ReN6s1vrRREQAREIDAHJXmA46yjOISDZc0xdNSd7TNldw7GZT2LwqDEY+1Eyym7cQGVxFrIycpBfUHHXwIuaqmpUV1aBDbW3ZS8HCQfnYupT38WDUw/heGpRs3Qke83i0YsiIALtRECy107gdVjbEpDs+ahqcnNzER0djerqatTVWW2nPtq52U0zsldXDpSfxqoXfo4hfQdh/PJt2DR3MmZOG4/w13sibNQszPrwPNKq0PQo3ppSXLm4FSsn9MSf/tgRYz9LQ3JhdbMncFv2pqL/4u04cfoQ9u3bj31fXEDSlWKUqQW3WX56UQREwD8EJHv+4aq9OpeAZM9HdUfRW7VqFc6dO4dr167hxg1fm04zsldTDOR9hGm/eQDPP94JvScsw9K5szBv/jzMHt8DXV78J/7V9y3MP30V5TV1pvvezdOuQGVhIi6sXI73F87G+H690LVDH7w0+WOczqtGaQvDcRtk77874K+9RmPOknexbOW7WDhnOuau3IV95zOQ37wv+oi+diMCIiACtwlI9m6z0DMRIAHJno/iQLIn2fNRKGk3IiACbSQg2WsjQL096AhI9lyqtKSkBBkZGV4te/bsQXh4OGbNmoUjR44gOzsbVVVNzWTsclCPnzaT2asuBDI2IvyhH+DBn3bAyzMPIr4UqGVnvMoknFzeD/07PINfjtqH1PIbqG7opFeIovT9WPvI7/GPX/wXfvbA0/h7hxlY/kUGskpqUG120HQBTWZve2/87dFf4KFnwxC+bBc+O7YPOxcNwMsvdkXYzE3Yl1ZuMokNh2x6d3pFBERABHxCQLLnE4zaSRARkOy5VOaxY8cwcuTINi9jx47F1q1bkZqa6rL3tj5tTvauA0mrMeLX/w8v95yK5WfunMi4ImYbVrwxCN+9fxp25VagwKV5tq62FpWFhSguzEXyyfexYkwYnnxkJN45k4/M0hqXwRt3l7+2vAA5+8ZhyLiVWLgnDjlmEw75yMWhqY+ja58e6Lr2IioAl6bju/ejNSIgAiLgSwKSPV/S1L6CgYBkz6UWnSt7tzN7YQPn4IO4OydDrkveh/Xjh+Kee4dgTUIFcitvnzTvtVtXU4PamhuoKs1H8rHNWDHkafyo03JsjMxG/u1N73pWX1eDG0XZyMi+htyiStzspcgc3g2kbB2EsOdexRPddyIGgLru3YVPK0RABPxEQLLnJ7DarWMJSPZcqu7q1as4efKkV8vGjRsxevRoTJkyBTt27EBcXBzYLOy7RzOZvZoSoPATzPztjzFs0NvYernRUdMOYMOkYbjn3gFYGVeBHBfZa7QlqjJO4szSbvjG/w3D1N2XkMS0nBePvAPjMfjZvvjjvz7AOcmeFwT1FhEQAW8JSPa8Jaf3BSsByZ6PavbChQtYtGgR9u7di8zMTB/312Mhm5G9ukrgRiQ2dPwFhr8xDSvO32lodUl7sX7SG/jOj0djQ0oF8srKUVldhQqX5lwLQ82Vc4he1Rff/J8dMGZTJGLd3paNW9ehvr4GNTfq4W6mmczdw9DvhZ54tOuHiJDsWXj1VwREIAAEJHsBgKxDOIqAZM9H1cWBHcePH0dlZWXg59kzUyOX4MzCZzBs7JsY+1ESymuBerao1lej8OxaLB0zED/8xwocLqhCcWEyUlKSEZ1WaObCM9uRQ101CuP2Yu+Ep/C/vxuGGTvjkMw7ptXeQG1FEfJy81FcUY1qTiNYV4Hqsiu4HJmN3IJKVFktx/W1QHUhTr7TAd06dcE/Jx5AomnY9RFo7UYEREAEWiAg2WsBkF4OOQKSPR9VOfu+uS4+2q3LbprJ7JlhFPWoPL0Q4QNH4aURHyCi7NZo3Jo0HF3WHcN7Po0OK2NQWlWD+qsHsGb+Oxj11nacyMPN++LySFVpiP14MkY8eg/+z2ubsftSHioojKVXUHRxJxbPX4U90ZnIZDNweTpyI9agx1MTsHxPAhJLbxW1pgxI34aZzz+Gzj0nYc4XBbdK53IqeioCIiACfiQg2fMjXO3akQQke3autsoCIHoNXuv8LB5++Of42X3/gf/8H1/Ffz7wEP7rVw/j4SFvY8Ln6Q1nUFeagdNbZmNsnw544sVeCBvQD707PoNOr/THqEU7cTSv3NwvF9VFuBL5KbbPG4U+//0sXu4bht4D+qPPK0/hhX89jr/2mIJVZ68gq/TGzVG0BZeRvnsGHnygF6Zsj0YcuyLWVqEiPwnHVo/DyC6d0b1TN/QeFIa+vbvh+V8/hudfm4HFuyKRXuKmrbihxHoiAiIgAr4nINnzPVPt0dkEJHt2rr8b5cDVc9i6aQ3eeeedu5ddX2B/cqHLGdSiOOMizu5ZjyUL3sbM2TMxd/5irNl2GCfi80BHs+a7qy29gsyoQ9i1dilWLnsbc+fOwpy5c7D4vQ348PN4ZJfX3myu5d4rC1CUdAorlu81+7HuilF7oxIl6adwZPsmrF+2EIsWzMbM2Qswd85qfHAwFpdzykwDs0sB9VQEREAE/E5Asud3xDqAwwhI9hxWYZ4Ut66qFKW5KYiLi0Xy1SIUV1gd6hq/uw51NeUov5qE5IQ4JKbnIq/Yi0xcXQ1Kr19BZvJlxCVkIqes5nYfvsaH1P8iIAIi4GcCkj0/A9buHUdAsue4KlOBRUAEREAEmiMg2WuOjl4LRQKSvVCsdZ2zCIiACAQxAcleEFeuTs0rApI9r7DpTSIgAiIgAnYlINmza82oXO1FQLLXXuR1XBEQAREQAb8QkOz5Bat26mACkj0HV56KLgIiIAIicDcByd7dTLQmtAlI9kK7/nX2IiACIhB0BCR7QVelOqE2EpDstRGg3i4CIiACImAvApI9e9WHStP+BCR77V8HKoEIiIAIiIAPCUj2fAhTuwoKApK9oKhGnYQIiIAIiIBFQLJnkdBfEbhJwGPZKykpgd2WnJwcpKen265cduOk8tgvdlUnqhPFgP9ioKioCMXFxT5dUlJSEBERgejoaPmDCDiOgMeyl5aWBrst/PAlJyfbrlx246Ty2C92VSeqE8WA/2IgPz/fp6JHcZTsOc5vVGAXAh7LXm1tLey2FBQUIDMz03blshsnlcd+sas6UZ0oBvwXA6WlpZI9lx96PRUBj2XPjqgKCwuRlZVlx6KpTCIgAiIgAu1EQH322gm8DmtbAv8ff+p2JSH4eQcAAAAASUVORK5CYII=[/img][br][br]5. Move the triangle around and change its size by using the Move tool on one of the vertices of the original triangle. Notice how the Pythagorean Theorem always holds!![br][br]6. Choose the Text tool and click anywhere in the sketch to insert a text box. Answer the following question: What does the formula [math]a^2+b^2=c^2[/math] mean? Use your picture to help you explain. (Focus on describing the areas of the squares along the sides of your triangle and how they are related.)