A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 2, respectively. The angle between A and C is $\frac{3 π}{8}$ $(3pi)/8$ and the angle between B and C is $\frac{5 π}{12}$ $(5pi)/12$ . 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 5 and 2, respectively. The angle between A and C is $\frac{3 π}{8}$ $(3pi)/8$ and the angle between B and C is $\frac{5 π}{12}$ $(5pi)/12$ . What is the area of the triangle?

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Answer 1 · 2016-08-02T11:08:10

The area of the triangle is $3.04 (2 d p)$ $3.04(2dp)$ sq.unit

Explanation:

The angle between sides A and B is $∠ c = (π - (\frac{3 π}{8} + \frac{5 π}{12})) = {37.5}^{0}; A = 5; b = 2$ $/_c=(pi-((3pi)/8+(5pi)/12))=37.5^0; A=5 ; b=2$ .The area of the triangle is $A_{t} = \frac{1}{2} \cdot A \cdot B \cdot sin c = \frac{1}{2} \cdot 5 \cdot 2 \cdot sin 37.5 = 3.04 (2 d p)$ $A_t=1/2*A*B*sinc =1/2*5*2*sin37.5=3.04(2dp)$ sq.unit[Ans]

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A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 2, respectively. The angle between A and C is $\frac{3 π}{8}$ $(3pi)/8$ and the angle between B and C is $\frac{5 π}{12}$ $(5pi)/12$ . 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 5 and 2, respectively. The angle between A and C is 3π8(3pi)/8 and the angle between B and C is 5π12 (5pi)/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 5 and 2, respectively. The angle between A and C is $\frac{3 π}{8}$ $(3pi)/8$ and the angle between B and C is $\frac{5 π}{12}$ $(5pi)/12$ . What is the area of the triangle?