To find the measurement of the hypotenuse of a right triangle, we need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is:
h^2 = a^2 + b^2
where h is the length of the hypotenuse, and a and b are the lengths of the other two sides.
Using the given measures, we can substitute them into the equation and solve for h:
h^2 = 10^2 + 24^2
h^2 = 100 + 576
h^2 = 676
h = sqrt(676)
h = 26
Therefore, the measurement of the hypotenuse of the right triangle is 26 feet.
Two legs of a right triangle are 10 feet and 24 feet. What is the measurement of the hypotenuse?
1 answer