If a triangle has sides of length 12 and 16, how long is the hypotenuse?(1 point)

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1 answer

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, if the two sides have lengths 12 and 16, we can calculate the length of the hypotenuse:

$$\text{hypotenuse}^2 = 12^2 + 16^2$$
$$= 144 + 256$$
$$ = 400$$

Therefore, the length of the hypotenuse is 20.