Question

A triangle has sides A, B, and C. The angle between sides A and B is `(pi)/3` and the angle between sides B and C is `pi/6`. If side B has a length of 26, what is the area of the triangle?

Answer 1

`(169sqrt3)/2`

Explanation:

The third angle `pi/2`, which means it is a right angled triangle.
The three sides are `1:sqrt3:2` in length with side B being the longest. Side A is vertical to side C. Side A=`13`, side C=`13sqrt3`
Area of triangle=`1/2*13*13sqrt3=(169sqrt3)/2`