For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Answer:The converse of Pythagorean Theorem states that if three sides of a triangle are a, b and c such that a2+b2=c2, then the triangle is right angled. Proof: There are many proofs for this but you can use Pythagorean theorem to prove this. Let the triangle ABC have side lengths a, b and c such that a2+b2=c2.

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