if 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 of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's call the length of the hypotenuse "c".

Using the Pythagorean theorem:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676

Taking the square root of both sides, we find:
c ≈ 26.

Therefore, the length of the hypotenuse is approximately 26 cm.