Question

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 6, respectively. The angle between A and C is `(pi)/2` and the angle between B and C is `(3pi)/8`. What is the area of the triangle?

Answer 1

`=4.6`

Explanation:

Since the triangle is right angled
`B cos3pi/8=C`
or
`C=6cos3pi/8`
or
`C=6(0.383)`
or
`C=2.3`
So Area of the triangle=`1/2(A)(C)`
`=1/2(4)(2.3)`
`=4.6`