If a triangle has legs measuring 10 cm and 24 cm how long is a hypotenuse

1 answer

To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. In this case, the theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, applying the Pythagorean theorem:

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 approximately 26 cm.