A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is (3pi)/8 and the angle between B and C is (5pi)/24. What is the area of the triangle?

1 Answer
Jim G.
Feb 21, 2016

area ≈ 9.66 square units

Explanation:

The area of the triangle can be found using 1/2ABsintheta
where theta " is the angle between A and B."

since the sum of the 3 angles in a triangle is pi

Then the angle theta = pi -((3pi)/8 + (5pi)/24)

rArr theta = pi - (7pi)/12 = (5pi)/12

rArr "area " = 1/2 xx 4 xx 5 xx sin((5pi)/12) ≈ 9.66

Related questions
See all questions in Area of a Triangle
Impact of this question
1612 views around the world
You can reuse this answer
Creative Commons License