A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is $(7pi)/8$ and the angle between B and C is $(pi)/12$ . What is the area of the triangle?

Question

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is $(7pi)/8$ and the angle between B and C is $(pi)/12$ . What is the area of the triangle?

1 Answer

Impact of this question

1656 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-20T19:06:25

$"area " ~~1.305" square units"$

Explanation:

$"the area ( A) of the triangle is calculated using"$

$•color(white)(x)A=1/2ABsinC$

$"where " C" is the angle between A and B"$

$rArrangleC=pi-((7pi)/8+pi/12)=pi/24$

$rArrA=1/2xx4xx5xxsin(pi/24)$

$color(white)(rArrA)~~1.305" square units"$

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is $(7pi)/8$ and the angle between B and C is $(pi)/12$ . 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. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is (7pi)/8(7pi)/8 and the angle between B and C is (pi)/12 (pi)/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. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is $(7pi)/8$ and the angle between B and C is $(pi)/12$ . What is the area of the triangle?