A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 7, respectively. The angle between A and C is (pi)/4 and the angle between B and C is (2pi)/3. What is the area of the triangle?

1 Answer
Binayaka C.
Oct 31, 2016

Area of the triangle is 10.87(2dp) unit^2

Explanation:

The angle between sides A and C is /_b=pi/4=180/4=45^0
The angle between sides B and C is /_a=(2pi)/3=(2*180)/3=120^0
The angle between sides A and B is /_c=180-((45+120)=15^0
Now we know sides A=12 ; B=7 and their included angle /_c=15^0
So area of the triangle is A_t=1/2*A*B*sinc= 1/2*12*7*sin15=10.87(2dp) unit^2 [Ans]

Related questions
See all questions in Area of a Triangle
Impact of this question
1594 views around the world
You can reuse this answer
Creative Commons License