How does the attached figure prove the Pythagorean theorem? 04220400631.jpgZSP

Alaina Marshall

Alaina Marshall

Answered question

2022-05-28

How does the attached figure prove the Pythagorean theorem?

Answer & Explanation

stormsteghj

stormsteghj

Beginner2022-05-29Added 11 answers

I think the diagram ought to include lines that connect all the three points on the large circle into a triangle. It is then (I think) supposed to be known that an inscribed triangle that has a diameter as one of its sides is right, and that an altitude towards the hypotenuse divides a right triangle into two similar triangle.
The proportion c + a b = b c a then comes from these two similar triangles. Cross multiplying with the denominators produces c 2 a 2 = b 2 .

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