A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 6, respectively. The angle between A and C is (19pi)/2419π24 and the angle between B and C is (pi)/8π8. What is the area of the triangle?

1 Answer
Binayaka C.
Jun 23, 2016

Area of the triangle is 5.44 (2dp) sq.unit5.44(2dp)sq.unit

Explanation:

The angle between sides A and C is /_B=( 19 *180)/24=142.5^0∠B=19⋅18024=142.50
The angle between sides B and C is /_A= 180/8=22.5^0∠A=1808=22.50
The angle between sides A and B is /_C= 180-(142.5+22.5)=15^0∠C=180−(142.5+22.5)=150
We have sides A=7 ; B=6 A=7;B=6 and their included angle /_C=15^0 :.
Area =(A*B*sinC)/2 = (7*6*sin15)/2 = 5.44(2dp) sq.unit[Ans]

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