What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is 26 centimeters?
The length of the leg opposite the 30° angle = (1/2) (hypotenuse) = (1/2)(26) = 13
The length of the side opposite the 60° angle = (side opp 30° angle) * sqrt (3) = 13sqrt (3)
Sum of sides = 26 + 13 + 13sqrt(3) = [39 + 13sqrt (3) ] cm ≈ 61.5 cm
