Problem 103 of 7
Prove the Pythagorean Theorem using similarity in A right triangle with legs 'l1' and 'l2', and hypotenuse 'h', with an altitude 'alt' to 'h'.
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derive leg-square relationships and sum.
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Proof must derive leg-square relationships from similar triangles and sum them.
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Walkthrough
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1. Draw altitude to the hypotenuse.
2. Use similar triangles to derive leg-square relationships.
3. Add the relationships to get a^2+b^2=c^2.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Citing the Pythagorean Theorem as a premise.