Question

A triangle has sides A, B, and C. Sides A and B are of lengths `7` and `2`, respectively, and the angle between A and B is `(5pi)/8`. What is the length of side C?

Answer 1

`color(purple)("Length of side " c = 7.982 " units"`

Explanation:

`c = sqrt(a^2 + b^2 - 2ab cos C)`

`c = sqrt(7^2 + 2^2 - (2*7*2*cos((5pi)/8))`

`color(purple)("Length of side " c = 7.982 " units"`