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

1 answer

To find the length of the hypotenuse, you 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.

Let's call the length of the hypotenuse h. Using the given lengths of the legs (10 cm and 24 cm), we can calculate the length of the hypotenuse as follows:

h² = 10² + 24²
h² = 100 + 576
h² = 676

Taking the square root of both sides to find h:

h = √676
h = 26

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