If a right triangle has legs measuring 10 cm and 24 cm, how long is they hypotenuse?

1 answer

To find the length of the hypotenuse of a right triangle, you can use 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 length of one leg is 10 cm and the length of the other leg is 24 cm.

Applying the Pythagorean theorem:

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:

Hypotenuse = √676
Hypotenuse = 26 cm

Therefore, the length of the hypotenuse is 26 cm.