A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{π}{24}$ $(pi)/24$ . 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 3, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{π}{24}$ $(pi)/24$ . What is the area of the triangle?

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Answer 1 · 2016-05-21T11:38:27

Area of the triangle is $3$ $3$ $u n i t^{2}$ $unit^2$

Explanation:

The angle between sides A & C is $∠ B = 11 \cdot \frac{π}{24} = {82.5}^{0}$ $/_B=11*pi/24 =82.5^0$
The angle between sides B & C is $∠ A = \frac{π}{24} = {7.5}^{0}$ $/_A=pi/24 =7.5^0$
The angle between sides A& B is $∠ C = 180 - (82.5 + 7.5) = 90^{0}$ $/_C=180-(82.5+7.5)=90^0$
This is a right angled triangle whose base is side A and altitude is side B $:.$ Area $= 1/2*A*B=1/2*2*3 =3$ $unit^2$ [Ans]

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A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{π}{24}$ $(pi)/24$ . 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 3, respectively. The angle between A and C is (11pi)/2411π24(11pi)/24 and the angle between B and C is (pi)/24π24 (pi)/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 3, respectively. The angle between A and C is $\frac{11 π}{24}$ $(11pi)/24$ and the angle between B and C is $\frac{π}{24}$ $(pi)/24$ . What is the area of the triangle?