Question

If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?(1 point)

cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 is equal to the sum of the squares of the lengths of the two legs.

In this case, the lengths of the legs are 10 cm and 24 cm.

So, the length of the hypotenuse can be found as follows:

hypotenuse^2 = leg1^2 + leg2^2
hypotenuse^2 = 10^2 + 24^2
hypotenuse^2 = 100 + 576
hypotenuse^2 = 676

Taking the square root of both sides to find the length of the hypotenuse:
hypotenuse = √676
hypotenuse = 26 cm

Therefore, the length of the hypotenuse in this right triangle is 26 cm.