A triangle has sides A, B, and C. The angle between sides A and B is $pi/8$ . If side C has a length of $7$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

Question

1480 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-04T06:05:47

The answer is $A=4.7$

We apply the sine rule to the triangle $ABC$

$A/sin hatA=C/sin hatC$

The side $C=7$

The angle $hat C=1/8pi$

The angle $hat A=1/12pi$

Therefore,

$A=C*sin hatA/sin hat C=7* sin(1/12pi)/sin(1/8pi)$

$=4.7$

A triangle has sides A, B, and C. The angle between sides A and B is pi/8pi/8. If side C has a length of 7 7 and the angle between sides B and C is pi/12pi/12, what is the length of side A?