A triangle has sides A, B, and C. The angle between sides A and B is $pi/3$ . If side C has a length of $3$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

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Answer 1 · 2017-08-18T11:46:52

The length of side $A$ is $0.9$ unit.

The angle between sides $A and B$ is $/_c = pi/3= 180/3=60^0$

The angle between sides $B and C$ is $/_a = pi/12= 180/12=15^0$

$C=3 ; A=?$ Applying sine law we can find $A$ as

$A/sina = C/sinc or A = C* sina/sinc=3 *sin15/sin60 ~~ 0.9$ unit

The length of side $A$ is $0.9$ unit. [Ans]

A triangle has sides A, B, and C. The angle between sides A and B is pi/3pi/3. If side C has a length of 3 3 and the angle between sides B and C is pi/12pi/12, what is the length of side A?