a triangle has sides a=3 and b=6 and angle C=60 degrees. Find the length of side c.

Answer 1

This is a Law of Cosines problem.

c² = a² +b² – 2ab cosθ = 3² +6² – 2(3)(6)cos(60°) = 9 + 36 – 36(1/2) = 27

c² = 27 means that c = √(27) = 3√3 ≈ 5.2

Answer

The length of side c is 3√3 ≈ 5.2