Multiple choice

Which of the following options would be the measure of hypotenuse of a right angled triangle with shorter side as 6 ft and length of longer side as 10 ft?

  1. 33.6 ft

  2. 22.4 ft

  3. 11.7 ft

  4. 8.4 ft
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C Correct answer
Explanation

The hypotenuse of a right triangle is calculated using the Pythagorean theorem: sqrt(6^2 + 10^2) = sqrt(36 + 100) = sqrt(136). The square root of 136 is approximately 11.66, which rounds to 11.7.

AI explanation

Using the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the two shorter sides. Substitute the shorter side as 6 ft and the longer side as 10 ft to get hypotenuse^2 = 6^2 + 10^2. This gives 36 + 100 = 136. Taking the square root of 136 yields approximately 11.66 ft, which rounds to 11.7 ft. The measure of the hypotenuse is 11.7 ft.

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