A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 7, what is the area of the triangle?

Question

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 7, what is the area of the triangle?

1 Answer

Impact of this question

1512 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-17T09:38:59

$A_{t} = (\frac{1}{2}) a b sin C = (\frac{1}{2}) \cdot 1.8756 \cdot 7 \cdot sin (\frac{π}{3}) = 5, 6851$ $A_t = (1/2) a b sin C = (1/2) * 1.8756 * 7 * sin (pi/3) = color(red)(5,6851)$

Explanation:

$b = 7, ˆ A = \frac{π}{12}, ˆ C = \frac{π}{3}$ $b = 7, hatA = pi/12, hatC = pi/3$

$:. hatB = pi - pi/12 - pi/3 = (7pi)/12$

$a = (b * sin A) / sin B = (7 * sin (pi/12)) / sin ((7pi)/12) = 1.8756$

enter image source here

$A_t = (1/2) a b sin C = (1/2) * 1.8756 * 7 * sin (pi/3) = color(red)(5,6851)$

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 7, 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. The angle between sides A and B is pi/3π3pi/3 and the angle between sides B and C is pi/12π12pi/12. If side B has a length of 7, what is the area of the triangle?

1 Answer

Explanation:

Related questions

Impact of this question

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 7, what is the area of the triangle?