A triangle has sides A, B, and C. If the angle between sides A and B is $\frac{π}{8}$ $(pi)/8$ , the angle between sides B and C is $\frac{7 π}{12}$ $(7pi)/12$ , and the length of B is 12, what is the area of the triangle?

Question

A triangle has sides A, B, and C. If the angle between sides A and B is $\frac{π}{8}$ $(pi)/8$ , the angle between sides B and C is $\frac{7 π}{12}$ $(7pi)/12$ , and the length of B is 12, what is the area of the triangle?

1 Answer

Impact of this question

1623 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-17T16:12:30

Area of triangle

$A_{t} = (\frac{1}{2}) a b sin C = 33.5467$ $A_t = (1/2) a b sin C = 33.5467$

Explanation:

$ˆ A = \frac{7 π}{12}, ˆ C = \frac{π}{8}, b = 12$ $hatA = (7pi)/12, hatC = (pi)/8, b = 12$

$ˆ B = π - \frac{7 π}{12} - \frac{π}{8} = \frac{7 π}{24}$ $hatB = pi - (7pi)/12 - pi/8 = (7pi)/24$

$a = \frac{12 \cdot sin (\frac{7 π}{12})}{sin (\frac{7 π}{24})} = 14.6103$ $a = (12 * sin ((7pi)/12)) / sin((7pi)/24) = 14.6103$

enter image source here

Area of triangle

$A_{t} = (\frac{1}{2}) a b sin C = (\frac{1}{2}) \cdot 14.6103 \cdot 12 \cdot sin (\frac{π}{8}) = 33.5467$ $A_t = (1/2) a b sin C = (1/2) * 14.6103 * 12 * sin (pi/8) = 33.5467$

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. If the angle between sides A and B is $\frac{π}{8}$ $(pi)/8$ , the angle between sides B and C is $\frac{7 π}{12}$ $(7pi)/12$ , and the length of B is 12, what is the area of the triangle?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. If the angle between sides A and B is π8(pi)/8, the angle between sides B and C is 7π12(7pi)/12, and the length of B is 12, what is the area of the triangle?

1 Answer

Explanation:

Related questions

Impact of this question

A triangle has sides A, B, and C. If the angle between sides A and B is $\frac{π}{8}$ $(pi)/8$ , the angle between sides B and C is $\frac{7 π}{12}$ $(7pi)/12$ , and the length of B is 12, what is the area of the triangle?