To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using this theorem, we can calculate the length of the hypotenuse as follows:
Length of hypotenuse^2 = Length of leg 1^2 + Length of leg 2^2
Length of hypotenuse^2 = 10^2 + 24^2
Length of hypotenuse^2 = 100 + 576
Length of hypotenuse^2 = 676
Taking the square root of both sides, we find:
Length of hypotenuse = √676
Simplifying the square root, we get:
Length of hypotenuse = 26 cm
Therefore, the hypotenuse of the right triangle is 26 cm.
If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?(1 point)
cm
1 answer
1 answer