Multiple choice

Which of the following is the length of the hypotenuse of a right triangle whose legs are 5 cm and 6 cm long?

  1. 6.8 cm

  2. 7.3 cm

  3. 7.8 cm

  4. 8.1 cm
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C Correct answer
Explanation

Hypotenuse = sqrt(5^2 + 6^2) = sqrt(25 + 36) = sqrt(61). sqrt(61) is approximately 7.81.

AI explanation

Using the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the legs, giving hypotenuse squared equal to 5 squared plus 6 squared. This calculates to 25 plus 36, totaling 61. Taking the square root of 61 gives a hypotenuse length of approximately 7.8 cm.

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