Question

A triangle has sides A, B, and C. If the angle between sides A and B is `(pi)/6`, the angle between sides B and C is `(pi)/2`, and the length of B is 12, what is the area of the triangle?

Answer 1

The area of the triangle is 41.5692

Explanation:

`Pi/2` indicates a right angled triangle

Calculating the length of C will allow us to use
`1/2*Base * Height` to calculate the area

The length of C can be calculated by using
`Tan (Pi/6) = 0.5774 = C/12`

Rearranging
`C = 12 * 0.57735 = 6.9282`

Using `1/2*Base * Height`
`1/2*12*6.9288 = 41.56928`