A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?

Question

A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?

1 Answer

Impact of this question

1259 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-25T11:54:22

The length of side #C# is #1.38 (2dp) unit#

Explanation:

Here the sides #A=2 ; B=3# and their included angle #c=pi/8=180/8=22.5^0# are known.
Applying cosine law we get #C= sqrt(A^2+B^2-2*A*B*cosc) or C=sqrt (2^2+3^2-2*2*3*cos22.5)=1.38 (2dp) unit#[Ans]

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. Sides A and B are of lengths #2# and #3#, respectively, and the angle between A and B is #(pi)/8 #. What is the length of side C?

1 Answer

Explanation:

Related questions

Impact of this question