Question

A triangle has sides A, B, and C. The angle between sides A and B is `(pi)/2` and the angle between sides B and C is `pi/12`. If side B has a length of 54, what is the area of the triangle?

Answer 1

The area of the triangle is about `390.69 units^2`

Explanation:

since `pi/2=90`degrees we know this triangle is right
we can find the side of A by saying `tan(pi/12)=A/54`
then rearrange the equation to get `A=54tan(pi/12)`
this gives you `A=14.47`
then you can use the formula for the area of a triangle which is
`1/2`(base)(height)
so the equation would be `1/2(54)(14.47)`
This is equal to (390.69)