If the sides of have measures a = 3, b = 4, and c = 5, then the measure of (the angle opposite the side of length c) is 90°.

Question

If the sides of  have measures a = 3, b = 4, and c = 5, then the measure of  (the angle opposite the side of length c) is 90°.

Quizplus · Accepted Answer

This is the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 3^2 + 4^2 = 5^2, so we know that it is a right triangle, and therefore the angle opposite the side of length 5 is 90°.

If the Sides of Have Measures a = 3