Question

14 which construction can you use to prove the pythagorean theorem based on similarity of triangles?

Explanation:

Step1: Recall proof method

Draw an altitude from the right - angle vertex to the hypotenuse of a right - triangle. This divides the original right - triangle into two smaller right - triangles.

Step2: Use similarity

The three right - triangles (the original and the two smaller ones) are similar. By setting up ratios of corresponding sides and cross - multiplying, we can prove the Pythagorean theorem $a^{2}+b^{2}=c^{2}$.

Answer:

Draw an altitude from the right - angle vertex to the hypotenuse.