A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is $\frac{5 π}{24}$ $(5pi)/24$ 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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A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is $\frac{5 π}{24}$ $(5pi)/24$ 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 · 2016-02-15T20:12:58

9 square units

Explanation:

The sum of the 3 angles in a triangle $= π$ $= pi$

the 2 angles here $= \frac{5 π}{24} + \frac{7 π}{24} = \frac{π}{2}$ $= (5pi)/24 + (7pi)/24 = pi/2$

which means that the 3rd angle $= π - \frac{π}{2} = \frac{π}{2}$ $= pi-pi/2 = pi/2$

hence this is a right triangle , with C , the hypotenuse.

so area $= \frac{1}{2} \times A \times B = \frac{1}{2} \times 2 \times 9 = 9 square units$ $= 1/2 xx A xx B = 1/2 xx 2 xx 9 = " 9 square units"$

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A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is $\frac{5 π}{24}$ $(5pi)/24$ 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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Explanation:

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Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is 5π24(5pi)/24 and the angle between B and C is 7π24 (7pi)/24. What is the area of the triangle?

1 Answer

Explanation:

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Impact of this question

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 9, respectively. The angle between A and C is $\frac{5 π}{24}$ $(5pi)/24$ and the angle between B and C is $\frac{7 π}{24}$ $(7pi)/24$ . What is the area of the triangle?