Given triangle ABC with angle A=105 degrees, b=16, and c=12, solve for the missing side. Do not solve for the entire triangle.

Answer 1

Hi Kyla S.,

Use the Law of Cosines, a² = b² + c² - 2*b*c*cos(∠A), and solve for a.

a = √[b² + c² - 2*b*c*cos(∠A)]

a = √[16² + 12² - 2*16*12*cos(105^o)]

a = 22.3

I hope this helps, Joe.