In a triangle ABC with usual notation, the tangent of half the difference of two angles A and B is one-third the tangent of half the sum of these angles. If the ratio (in simplest form) of the side opposite to these angles is a:b, then the value of a+b is

In a triangle ABC with usual notation, the tangent of half the differe

1.	In a triangle ABC with usual notation, the tangent of half the difference of two angles A and B is one-third the tangent of half the sum of these angles. If the ratio (in simplest form) of the side opposite to these angles is a:b, then the value of a+b is
Answer» In a triangle $A B C$ with usual notation, the tangent of half the difference of two angles $A$ and $B$ is one-third the tangent of half the sum of these angles. If the ratio (in simplest form) of the side opposite to these angles is $a : b,$ then the value of $a + b$ is