Question

prove converse of pythagorous theorem

Answer 1

Answer:

Step-by-step explanation:

We have given that Δ ABC is similar to Δ CBD and Δ ABC is similar to Δ ACD according to the attached picture.

Because of the similarity the corresponding sides are proportional. Then a/c = f/a

and b/e = c/b. If we cross multiply, we'll get

a² = cf and b² = ce

If we add these equalities together, we'll get

a² + b² = c (f + e)

From the beginning, we know that c = e+f

Then, the final result is:

a² + b² = c²

Answer 2

Answer:

Step-by-step explanation:

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