A triangle with angle measures 30°, 60°, 90° has a perimeter of 18+6√3. What is the length of the longest side of the triangle?
Generally speaking, the sides of a 30°-60°-90° triangle look like this:
Sum those up, and you get a perimeter of . The triangle in this question has a perimeter of . Set those equal to solve for :
BE CAREFUL THOUGH! The question didn’t ask for , it asked for the length of the longest side! The longest side (AKA hypotenuse) is .