A triangle has sides A,B, and C. If the angle between sides A and B is $(pi)/8$ , the angle between sides B and C is $pi/4$ , and the length of B is 1, 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 $(pi)/8$ , the angle between sides B and C is $pi/4$ , and the length of B is 1, what is the area of the triangle?

1 Answer

Impact of this question

1352 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-23T07:02:01

( $sqrt$ 2 $-$ 1) / (2 $sqrt$ 2).

Explanation:

Angle between B and C is 5 $pi$ /8 .
Use sides are proportional to sines of opposite angles and area to find C = tan $pi$ /8.
Area = 1/2 B.C. sin $pi$ 4.= sin $pi$ /8 .sin $pi$ /8 = ( 1 $-$ cos $pi$ /4)/2

Science

Math

Humanities

... and beyond

A triangle has sides A,B, and C. If the angle between sides A and B is $(pi)/8$ , the angle between sides B and C is $pi/4$ , and the length of B is 1, 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 (pi)/8(pi)/8, the angle between sides B and C is pi/4pi/4, and the length of B is 1, 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 $(pi)/8$ , the angle between sides B and C is $pi/4$ , and the length of B is 1, what is the area of the triangle?