A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 8, respectively. The angle between A and C is $\frac{7 π}{24}$ $(7pi)/24$ and the angle between B and C is $\frac{7 π}{24}$ $(7pi)/24$ . What is the area of the triangle?

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Answer 1 · 2016-07-06T11:16:50

There seems to be some mistake in the problem. See Explanation below.

Given that, angle btwn. (A,C) $= 7 \frac{π}{24}$ $=7pi/24$ = Angle btwn. (B,C).

$:.$ Length of side opp. to angle btwn. (A,C) = the Length of side opp. to angle btwn. (B,C).

#:.side B=sideA..........(I)

But it is given that length of side B=8, and that of A=5. This contradicts (I).

Kindly, check the problem!

A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 8, respectively. The angle between A and C is (7pi)/247π24(7pi)/24 and the angle between B and C is (7pi)/247π24 (7pi)/24. What is the area of the triangle?