A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 2, respectively. The angle between A and C is pi/4 and the angle between B and C is pi/3. What is the area of the triangle?

1 Answer
Binayaka C.
Jul 10, 2017

Area of triangle is 7.73 sq.unit

Explanation:

Angle between sides A and C is /_b=pi/4=180/4=45^0
Angle between sides B and C is /_a=pi/3=180/3=60^0
Angle between sides A and B is /_c=180-(60+45)=75^0

Now we know sides A , B and their included angle /_c

Sides A= 8 , B=2, /_c=75^0

Area of triangle is A_t= (A*B*sinc)/2 = (8*cancel2*sin 75)/cancel2 = 8*sin75 or

A_t ~~=7.73(2dp) sq.unit

Area of triangle is 7.73(2dp) sq.unit [Ans]

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