Multiple choice

The two legs of a right angled triangle are 12 inches and 3.5 inches long. What is the length of its hypotenuse?

  1. 12.5 in

  2. 12.75 in

  3. 13.1 in

  4. 14.55 in

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A Correct answer
Explanation

Using the Pythagorean theorem, the hypotenuse is sqrt(12^2 + 3.5^2) = sqrt(144 + 12.25) = sqrt(156.25) = 12.5 inches.

AI explanation

According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the two legs, so hypotenuse squared equals 12 squared plus 3.5 squared. Calculating this gives 144 plus 12.25, which equals 156.25. The square root of 156.25 is 12.5, making the hypotenuse 12.5 inches.