Question

A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 4, respectively. The angle between A and C is `(7pi)/24` and the angle between B and C is `(pi)/8`. What is the area of the triangle?

Answer 1

`A=19.31851653 cm^2`

Explanation:

`[7pi]/24+pi/8=[7pi]/24+[3pi]/24=[10pi]/24`

The angle at C is `[24pi]/24-[10pi]/24=[14pi]/24`

Area of the triangle is `1/2 xxaxxbxxsinC`

A=`1/2 xx 10 xx 4 xx sin [[14pi]/24]`

A=19.31851653