The acute angles of a right triangle have degree measures 30 and 60. If the side opposite the 60-degree angle has length 18, then what is the length of the side opposite the 30-degree angle?

Answer 1

You can use the sine law

x/sin(30) = 18/sin(60)

x = 18sin(30)/sin(60) = 18(1/2)/(√3 / 2)=18/√3 = 18√3/3=6√3