A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 1, respectively. The angle between A and C is $(7pi)/24$ and the angle between B and C is $(pi)/24$ . What is the area of the triangle?

Question

1581 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-20T18:03:44

$A=5/2*sqrt(3)$

The third angle is given by
$pi/24+7pi/24+x=pi$
so $x=2/3+pi$
using the formula
$A=1/2*a*b*sin(gamma)$
we get

$A=5/2*sin(2/3*pi)$
so

$A=5/2*sqrt(3)$

A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 1, respectively. The angle between A and C is (7pi)/24(7pi)/24 and the angle between B and C is (pi)/24 (pi)/24. What is the area of the triangle?