A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/12$ . If side B has a length of 13, what is the area of the triangle?

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Answer 1 · 2018-05-30T18:39:19

$A=169/2*(2-sqrt(3))$

We have
$tan(pi/12)=BC/13=a/13$
so
$a=13tan(pi/12)$
Note that

$tan(pi/12)=2-sqrt(3)$

A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2(pi)/2 and the angle between sides B and C is pi/12pi/12. If side B has a length of 13, what is the area of the triangle?