A triangle has sides A, B, and C. The angle between sides A and B is $pi/4$ . If side C has a length of $25$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2018-06-20T17:40:46

$a=25/2*(sqrt(3)-1)$

By the Theorem of sines we get

$sin(pi/4)/sin(pi/12)=25/a$
solving for $a$ we get
$a=25*sin(pi/12)/sin(pi/12)$
so

$a=25/2*(sqrt(3)-1)$

A triangle has sides A, B, and C. The angle between sides A and B is pi/4pi/4. If side C has a length of 25 25 and the angle between sides B and C is pi/12pi/12, what is the length of side A?