Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/12` and the angle between sides B and C is `pi/12`. If side B has a length of 5, what is the area of the triangle?

Answer 1

`=1.675 unit^2`

Explanation:

The other angle is `pi-pi/12-pi/12=10/12pi = 5/6pi`

Since it is an isosceles triangle with 2 equal size of sides,
The height of triangle,`h =5/2tan(pi/12)`
`h =5/2tan(pi/12)`

The area or triangle `=1/2*5*h`
`=1/2*5*5/2tan(pi/12)`

`=25/4*0.268`

`=1.675 unit^2`