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, 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.

Accordingly, if a right triangle has legs measuring 10 cm and 24 cm:
Hypotenuse^2 = 10^2 + 24^2
Hypotenuse^2 = 100 + 576
Hypotenuse^2 = 676

Taking the square root of both sides gives us:
Hypotenuse ≈ √676
Hypotenuse ≈ 26 cm

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