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The legs of a right triangle measure 5 centimeters and 12 centimeters. What is the length of the hypotenuse?A.13 centimetersB.17 centimetersC.14 centimetersD.169 centimetersSUBMITarrow_backPREVIOUS

Question

The legs of a right triangle measure 5 centimeters and 12 centimeters. What is the length of the hypotenuse?A.13 centimetersB.17 centimetersC.14 centimetersD.169 centimetersSUBMITarrow_backPREVIOUS

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Solution

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In mathematical terms, this is expressed as c² = a² + b².

In this case, the lengths of the two sides are given as 5 centimeters and 12 centimeters. So, we can substitute these values into the Pythagorean theorem:

c² = 5² + 12² c² = 25 + 144 c² = 169

To find c, we take the square root of both sides of the equation:

c = √169 c = 13

So, the length of the hypotenuse is 13 centimeters. Therefore, the correct answer is A.13 centimeters.

This problem has been solved

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