Construct a widget that demonstrates the theorems in Section 9.1 by following the instructions below:[br][br][icon]/images/ggb/toolbar/mode_regularpolygon.png[/icon]1. Use the Regular Polygon tool to "square" the sides of the triangles. Click two triangle vertices B, then A (in clockwise order) and enter the number "4" to make a square on that side. Notice that the square has been named "poly2" (in the left-hand menu). Repeat this step two more times with the vertex pairs A, C and C, B to make all three squares.[br][br][icon]/images/ggb/toolbar/mode_area.png[/icon]2. Use the area tool to find the area of the largest square. (This square should be on the side AB of the triangle). The area should appear on the screen.[br][br]3. Scroll down to the bottom of the menu on the left-hand side, and in the box labeled "Input," type the following text EXACTLY:[br][br]sum=poly3+poly4[br][br]then hit enter. This will create the sum of the areas of the squares of the other two sides.[br][br][icon]/images/ggb/toolbar/mode_text.png[/icon]4. Make this sum appear on your window with the Text tool. Once you have clicked a place to put your text box, type Sum= then choose "Advanced" and click the GeoGebra symbol (the ellipse). Find "sum" in the list that appears, and click it. The result should be a text equation that looks like Sum= sum, with the lowercase sum in a yellow box. Click "OK."[br][br][icon]/images/ggb/toolbar/mode_move.png[/icon]5. Compare the area "poly2" to "Sum." Is your triangle an acute, right, or obtuse triangle? Move the point C to experiment with how this changes the value of "Sum," and keep comparing this value to "poly2." Can you get the two to equal each other exactly?[br][br]6. Answer the question below.