Converse to the Pythagorean Theorem Answers

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Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?

If b2 + c2 = a2, then the triangle is a right triangle.

If a2 + c2 = b2, then the triangle is a right triangle.

If a2 + b2 =c2, then the triangle is a right triangle.

If a2 = b2 = c2, then the triangle is a right triangle.

What is the sum of the squares of the two shorter sides?

111

129

191

Is the triangle a right triangle?

No, the square of the longest side does not equal the sum of the squares of the shorter sides.

No, the square of the longest side equals the sum of the squares of the shorter sides.

Yes, the square of the longest side does not equal the sum of the squares of the shorter sides.

Yes, the square of the longest side equals the sum of the squares of the shorter sides.

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