A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{6}$ $pi/6$ . If side C has a length of $6$ $6$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

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Answer 1 · 2017-10-23T16:12:08

$3.106 u n i t s$ $color(magenta)(3.106 units$

$:.cancelpi^color(magenta)1/cancel6^color(magenta)1xxcancel180^color(magenta)30/cancelpi^color(magenta)1=30^@$

$:.cancelcolor(magenta)pi/cancel12^color(magenta)1xxcancel180^color(magenta)15/cancelcolor(magenta)pi=15^@$

$:.A/(sin15^@)=6/(sin30^@)$

$:.A=(6xxsin15^2)/sin30^@$

$:.A=(6xx0.258819045)/0.5$

$:.A=1.552914271/.5$

$:.color(magenta)(A=3.106$ units to the nearest 3decimal places

A triangle has sides A, B, and C. The angle between sides A and B is pi/6π6pi/6. If side C has a length of 6 66 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?