two short side of a right triangle measure 10 cm and 24 cm. what is the length of the hypotenuse of the triangle?
To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the hypotenuse and a and b are the other two sides of the triangle.
Given the lengths of the two sides, we have:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
Taking the square root of both sides, we get:
c = √676
c = 26
Therefore, the length of the hypotenuse of the triangle is 26 cm.