A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 6, respectively. The angle between A and C is $\frac{7 π}{24}$ $(7pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . 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 2 and 6, respectively. The angle between A and C is $\frac{7 π}{24}$ $(7pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?

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Answer 1 · 2016-03-14T11:55:37

Area=6 sqare units

Explanation:

The opposite angle of side B(6) is $7 \cdot \frac{180}{24} = {52.5}^{0}$ $7*180/24=52.5^0$
The opposite angle of side A(6) is $5 \cdot \frac{180}{24} = {37.5}^{0}$ $5*180/24=37.5^0$
So it is a right angled triangle as the third angle is $180 - (52.5 + 37.5) = 90^{0}$ $180-(52.5+37.5)=90^0$ Hence the area of the triangle is $\frac{1}{2} \cdot 6 \cdot 2 = 6$ $1/2*6*2=6$ square units[Answer]

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A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 6, respectively. The angle between A and C is $\frac{7 π}{24}$ $(7pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?

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Explanation:

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A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 6, respectively. The angle between A and C is 7π24(7pi)/24 and the angle between B and C is 5π24 (5pi)/24. 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 2 and 6, respectively. The angle between A and C is $\frac{7 π}{24}$ $(7pi)/24$ and the angle between B and C is $\frac{5 π}{24}$ $(5pi)/24$ . What is the area of the triangle?