A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 1, respectively. The angle between A and C is #(3pi)/8# and the angle between B and C is # (5pi)/12#. What is the area of the triangle?

1 Answer
Binayaka C.
Apr 10, 2017

The area of the triangle is #0.91 (2dp)# sq.unit

Explanation:

The angle between sides A and C is #/_b = (3pi)/8 = (3*180)/8 = 67.5^0#
The angle between sides B and C is #/_a = (5pi)/12 = (5*180)/12 = 75^0#
The angle between sides A and B is #/_c = 180-(67.5+75) = 37.5^0#

So , the two sides and their included angle is known as #A=3 , B=1 , /_c =37.5^0#

The area of the triangle is #A_t = (A*B*sinc)/2 = (3 * 1 * sin37.5)/2 ~~ 0.91 (2dp)# sq.unit [Ans]

Related questions
See all questions in Area of a Triangle
Impact of this question
1349 views around the world
You can reuse this answer
Creative Commons License