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

1 answer

To find the length of the hypotenuse in a right triangle, 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 two legs.

In this case, the lengths of the legs are 10 cm and 24 cm.

Let's denote the length of the hypotenuse as "c".

According to the Pythagorean theorem:

c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676

To find the length of "c", take the square root of both sides:

c = √676
c = 26 cm

Therefore, the length of the hypotenuse is 26 cm.