The shorter sides (legs) of a right triangle measure 10 cm and 24 cm. What is the length of the hypotenuse of the triangle?
Dont forget to use you units!
To find the length of the hypotenuse of a right triangle, we 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 other two sides.
Let's denote the length of the hypotenuse as "c" and the lengths of the legs as "a" and "b", where "a" is 10 cm and "b" is 24 cm.
According to the Pythagorean theorem, we have:
c^2 = a^2 + b^2
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the length of the hypotenuse (c), we need to take the square root of 676, which is 26.
Therefore, the length of the hypotenuse of the triangle is 26 cm.