A triangle has sides A, B, and C. Sides A and B are of lengths $14$ and $3$ , respectively, and the angle between A and B is $(5pi)/12$ . What is the length of side C?

Question

1467 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-21T20:34:24

Using the law of cosines we have that

$c^2=a^2+b^2-2abcos(A,B)=> c^2=14^2+3^2-2*14*3*cos(5*pi/12)=> c^2=183.3=> c=13.54$

A triangle has sides A, B, and C. Sides A and B are of lengths 1414 and 33, respectively, and the angle between A and B is (5pi)/12 (5pi)/12 . What is the length of side C?