A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 1, respectively. The angle between A and C is (5pi)/24 and the angle between B and C is (pi)/24. What is the area of the triangle?

1 Answer
Binayaka C.
Sep 12, 2016

Area of the triangle is 1.06 sq.unit

Explanation:

The angle between sides A & C is /_b=5*180/24=37.5^0
The angle between sides B & C is /_a=180/24=7.5^0
The included angle between sides A & B is /_c=180-(37.5+7.5)=135^0 So we have A=3 ; B=1 and included angle between them is 135^0. Area of the triangle is A_t=1/2*a*b*sinc=1/2*3*1*sin135=3/2*0.707=1.06 sq.unit[Ans]

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