Proving the Pythagorean Theorem with Similar Triangles Worksheet with Answer Key

What's on the worksheet

1. Decide which proportions are true for the altitude to the hypotenuse and name the similar triangles.
   \dfrac{EH}{EF} = \dfrac{EF}{EG}\dfrac{FH}{EH} = \dfrac{HG}{FH}\dfrac{EH}{EF} = \dfrac{EF}{HG}\dfrac{FG}{FH} = \dfrac{EG}{EF}\dfrac{EH}{HG} = \dfrac{EF}{FG}
2. Show the altitude squared equals the product of the two hypotenuse pieces.
3. Find the sides of a stained glass window from the perimeters of its panes.
4. Compare the areas of the half circles on the legs and the hypotenuse of a 6, 8, 10 triangle.
5. Prove two products are equal using similar triangles rather than areas.