Pythagoras' Theorem
Working with Pythagoras' Theorem
Table of Contents
- Proving Pythagoras' Theorem
- Pythagoras' Theorem
- Testing if a triangle with given side-lengths is right angled
- Testing Pythagoras' Theorem
- Summary and Practice
- Converse Pytahgoras - Summary and examples
Pythagoras' Theorem
Pythagoras' Theorem shows the relationship between the sides of a right-angled triangle.
"The Sum of the squares of the 2 short sides in a right triangle is equal to the square of the hypotenuse"[br][br]Verify Pythagoras' Theorem by dragging the pieces from the 2 smaller squares into the square on the hypotenuse.[br][br]Move the blue dots to change the size of the right triangle, to see that the theorem always works.
Testing Pythagoras' Theorem
Move the sliders to change the lengths of the 2 short sides
Use the sliders to adjust the short sides to check the length of the hypotenuse needed for a right triangle.
Is a triangle with sides 6, 8 and 10 right-angled?
Is a triangle with sides 5, 12 and 13 right-angled?
Is a triangle with sides 6, 12 and 15 right-angled?
Is a triangle with sides 7, 15 and 19 right-angled?
Converse Pytahgoras - Summary and examples
Written Work.[br][br]Use the link to access the notes and examples and copy them into your workbook.[br][br][url=https://schoolsnsw-my.sharepoint.com/:i:/g/personal/marc_azara_det_nsw_edu_au/EdaiiYYCpqFDrldu8x2fU5oBBlNMGtIj6guHNCSv8pyL8A?e=Et55Kz][color=#9900ff]LINK Testing to see if a triangle is Right-angled.[/color][/url][br][br]Then test the following triangles in your workbook.
Show all your working in your workbook, then enter your answer here.
A triangle has sides 27cm, 36cm, and 45cm. [br]Is it a right-angled triangle?
Show all your working in your workbook, then enter your answer here.
A triangle has sides 6m, 14m, and 15m. [br]Is it a right-angled triangle?