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 $6$ and the angle between sides B and C is $( pi)/2$ , what are the lengths of sides A and B?

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Answer 1 · 2016-06-19T06:46:36

$b=6sqrt(3)$ ; $a=12$

Since the triangle is right-angled, you can apply:

$b=c*cot(pi/6)$

$b=6sqrt(3)$

and

$a=c/sin(pi/6)$

$a=6/(1/2)=12$

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 6 6 and the angle between sides B and C is ( pi)/2( pi)/2, what are the lengths of sides A and B?