This is my last question for the day, I swear.

Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.

Question

This is my last question for the day, I swear. 

Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.

anonymous · Answer

I can prove the pythagorean theorem with an equation but I have no idea how to prove it with similar triangles. 

@ranga (sorry to bug you again)

ranga · Answer

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs/v/pythagorean-theorem-proof-using-similarity

anonymous · Answer

Thank you!

ranga · Answer

You are welcome.

radar · Answer

Excellent link for the explanation.