Question

Find the length of side x in simplest radical form with a rational denominator of a triangle that one side is 9 the other is x and there is 2 degrees that are 60 degrees and 20 degrees


just the equations pls

Answer 1

x / sin(20°) = 9 / sin(60°)

x = 9·sin(20°) / sin(60°)

sin(60°) = √3 / 2

x = 9·sin(20°) / (√3/2) = (18/√3)·sin(20°)

x = (18/√3)·sin(20°)·(√3/√3) = 6√3·sin(20°)