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

1 Answer
Binayaka C.
Dec 30, 2016

The area of the triangle is 2.5 sq.unit

Explanation:

The angle between sides A and C is /_b=(7pi)/24=52.5^0
The angle between sides B and C is /_a=(5pi)/24=37.5^0
The angle between sides A and B is /_c=180-(52.5+37.5)= 90^0
The area of the triangle with sides A=1 , B=5 and their included angle /_c=90^0 is A_t=(a*b*sinc)/2 = (1*5*sin90)/2=5/2=2.5 sq.unit[Ans]

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