Question

A triangle has sides A, B, and C. Sides A and B are of lengths `9` and `2`, respectively, and the angle between A and B is `pi/6`. What is the length of side C?

Answer 1

The length of side C is `7.34` unit.

Explanation:

Angle between Sides `A and B` is `/_c= pi/6=180/6=30^0`

Sides `A=9 , B=2` Cosine rule: (for all triangles) is

`C^2=A^2 + B^2 − 2 A B cos(c)`

`:. C^2=9^2 + 2^2 − 2*9*2*cos(30)` or

`C^2~~53.82 :. C ~~ 7.34 (2 dp)`

The length of side C is `7.34` unit [Ans]