Question

A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 7, respectively. The angle between A and C is `(3pi)/8` and the angle between B and C is `(pi)/3`. What is the area of the triangle?

Answer 1

50

Explanation:

S(area of the triangle)
`=A*h_A`(height relative to A)
`=A*B*sin`(angle between A and B)
`=A*B*sin(pi-3/8pi-1/3pi)`
`=A*B*sin(7/24pi)`
`approx 9*7*0.79`
`approx 50`