Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/4`. If side C has a length of `35` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

The Length of the side A is 12.81 units.

Explanation:

In this triangle the length of the side C is 35 and it's opposite angle is `180/4 = 45^0` The Opposite angle of the side A is `180/12=15^0` We know `A/sin(a) = C/sin(c) or A/sin15 = 35/sin45`
So `A = 35*(sin15/sin45) or 12.81 units [Answer]`