The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Question

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The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides (a and b) is equal to the square of the longest side (c). In this case, 9² + 39² = 1521, and 40² = 1600. Therefore, 9, 39, and 40 satisfy the Pythagorean theorem and form a right triangle.

The Lengths of the Three Sides of a Triangle Are a=9a = 9a=9

The Lengths of the Three Sides of a Triangle Are $a = 9$