For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C) whose legs have length a and b and whose hypotenuse has length c. On the extension of side BC pick a point D such that BAD is a right angle. 

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ас b. D a b (a) From the similarity of triangles ABC and DBA, show that AD D ac=Db and DC = a/b. (b) Prove that a“ + b = c by relating the area of triangle ABD to the areas of triangles ABC and ACD. ас b. D a b (a) From the similarity of triangles ABC and DBA, show that AD D ac=Db and DC = a/b. (b) Prove that a“ + b = c by relating the area of triangle ABD to the areas of triangles ABC and ACD.

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O A BC A DEA 0 AD 4C 3D AR AD a ... View the full answer