A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is $(5pi)/24$ and the angle between B and C is $(7pi)/24$ . What is the area of the triangle?

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Answer 1 · 2018-07-13T14:59:44

$A=14$

We compute the third angle:

$pi-(5pi)/24-(7pi)/24=pi-(12pi)/24=1/2*pi$

thus our trianlge is right angled and the area is given by

$A=1/2*4*7=2*7=14$

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is (5pi)/24(5pi)/24 and the angle between B and C is (7pi)/24 (7pi)/24. What is the area of the triangle?