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Proving the converse of the Pythagorean Theorem means proving that if the sum of the squares of the lengths of the shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right angle triangle.

Here's the equation:

(short side)² + (short side)² = (long side)²

Answer:

Sum, Shorter, and Longest.

Step-by-step explanation:

A Pythagorean triple [tex](a,b,c)[/tex] is a set of three positive whole numbers which satisfy the equation

[tex]a^2 + b^2 = c^2.[/tex]

Many ancient societies employed Pythagorean triples like (5,6,7) to precisely create right angles:  if a triangle has sides of lengths 5, 6, and 7 units, respectively, the angle opposite the side of length 5 units is therefore a right angle.

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