A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $1$ and the angle between sides B and C is $( 5 pi)/12$ , what are the lengths of sides A and B?

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Answer 1 · 2017-06-12T12:16:08

The lengths of the sides $a=b=1.93$

The angles are

$hatC=1/6pi$

$hatA=5/12pi$

The third angle of the triangle is

$hatB=pi-(hatA+hatC)$

$=pi-(1/6pi+5/12pi)$

$=pi-7/12pi$

$=5/12pi$

So the triangle $DeltaABC$ is an isoceles triangle.

Therefore,

$a=b=0.5/cos(5/12pi)=1.93$

A triangle has sides A, B, and C. The angle between sides A and B is (pi)/6(pi)/6. If side C has a length of 1 1 and the angle between sides B and C is ( 5 pi)/12( 5 pi)/12, what are the lengths of sides A and B?