If the legs of a right triangle are 18 cm and 24 cm respectively, then what is the length of the hypotenuse of the right triangle?
By using the Pythagorean theorem, we can find the length of the hypotenuse (c) of a right triangle if we know the lengths of the two legs (a and b). The Pythagorean theorem 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 two legs.
Let's use this theorem to find the length of the hypotenuse in this case:
a = 18 cm
b = 24 cm
c^2 = a^2 + b^2
c^2 = 18^2 + 24^2
c^2 = 324 + 576
c^2 = 900
Taking the square root of both sides, we find:
c = √900
c = 30 cm
Therefore, the length of the hypotenuse of the right triangle is 30 cm.