A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 7, respectively. The angle between A and C is (7pi)/24 and the angle between B and C is (11pi)/24. What is the area of the triangle?

1 Answer
Jim G.
Feb 21, 2016

≈ 7.42 square units

Explanation:

The area can be calculated using 1/2 ABsintheta
where theta" is the angle between A and B"

The sum of the 3 angles in a triangle = pi

hence the angle between A and B = pi - ((7pi)/24 +(11pi)/24)

= pi - (18pi)/24 = (6pi)/24 = pi/4

rArr " area" = 1/2xx3xx7xxsin(pi/4) ≈ 7.42" square units"

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