A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is $(11pi)/24$ and the angle between B and C is $(7pi)/24$ . What is the area of the triangle?

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Answer 1 · 2016-03-28T05:41:14

Area of triangle is $19.799$

As angle between A and C is $11pi/24$ and the angle between B and C is $7pi/24$ , angle between A and B is

$pi-(11pi)/24-(7pi)/24=(6pi)/24=pi/4$

Area of triangle is given by $1/2ab sinC$ and hence it is

$1/2xx7xx8xxsin(pi/4)=28/sqrt2=19.799$

A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is (11pi)/24(11pi)/24 and the angle between B and C is (7pi)/24 (7pi)/24. What is the area of the triangle?