The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse? (4 points)
22 centimeters
26 centimeters
30 centimeters
34 centimeters
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.
Let's call one leg of the triangle "a" and the other leg "b".
a = 10 centimeters
b = 24 centimeters
The Pythagorean theorem formula is: c^2 = a^2 + b^2
Substituting the given values, we get:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides, we find:
c = √676 = 26 centimeters
Therefore, the length of the hypotenuse is 26 centimeters. Answer: 26 centimeters.