A triangle has sides A, B, and C. The angle between sides A and B is $(5pi)/6$ . If side C has a length of $9$ and the angle between sides B and C is $pi/12$ , what are the lengths of sides A and B?

Question

1618 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-08T12:45:16

A is $C cos (A,C) = 9 cos (pi -5pi/6-pi/12) = 9 cos(6pi/6 -5pi/6 - pi/12) = 9 cos(pi/6 - pi/12) = 9 cos (pi/12) = 8.69$

B is $A cos(pi-pi/6)$
$B = 7.52$

Of course these are lengths, so we take the absolute value.

A triangle has sides A, B, and C. The angle between sides A and B is (5pi)/6(5pi)/6. If side C has a length of 9 9 and the angle between sides B and C is pi/12pi/12, what are the lengths of sides A and B?