A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is $\frac{π}{8}$ $(pi)/8$ and the angle between B and C is $\frac{7 π}{12}$ $(7pi)/12$ . What is the area of the triangle?

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A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is $\frac{π}{8}$ $(pi)/8$ and the angle between B and C is $\frac{7 π}{12}$ $(7pi)/12$ . What is the area of the triangle?

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Answer 1 · 2016-01-12T16:30:28

Area= 16.90

Explanation:

The given triangle is drawn here enter image source here

A,B,C are the vertices of the triangle. Side A means side opposite angle A, and so on. Sides are otherwise denoted by letters a,b,c Opposite to angles A,B,C.
Angle C would be $π - \frac{π}{8} - \frac{π}{12}$ $pi- pi/8 -pi/12$ = 105 degrees.

Area of the triangle is given by the formula $\frac{1}{2} a b sin C$ $1/2 ab Sin C$ = #1/2 (7)(5) sin105 = 16.90

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A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is $\frac{π}{8}$ $(pi)/8$ and the angle between B and C is $\frac{7 π}{12}$ $(7pi)/12$ . What is the area of the triangle?

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A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is π8(pi)/8 and the angle between B and C is 7π12 (7pi)/12. What is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is $\frac{π}{8}$ $(pi)/8$ and the angle between B and C is $\frac{7 π}{12}$ $(7pi)/12$ . What is the area of the triangle?