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 in 10th grade math

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·sin(20°)/√3

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