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A triangle has sides with lengths of 72 meters, 75 meters, and 21 meters. Is it a right triangle?

Question

A triangle has sides with lengths of 72 meters, 75 meters, and 21 meters. Is it a right triangle?

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Solution

To determine if a triangle is a right triangle, we can use 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. This is often written as a^2 + b^2 = c^2, where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

In this case, we can consider the longest side (75 meters) to be the hypotenuse. Then we calculate:

72^2 + 21^2 = 75^2 5184 + 441 = 5625 5625 = 5625

Since the two sides of the equation are equal, the triangle is a right triangle.

This problem has been solved

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