A triangle has sides A, B, and C. The angle between sides A and B is $\frac{2 π}{3}$ $(2pi)/3$ . If side C has a length of $36$ $36$ 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 · 2018-05-14T09:44:42

A=10.75890567 cm

using $\frac{a}{sin A} = \frac{b}{sin B}$ $a/[sin A]=b/[sin B]$

$\frac{36}{sin [\frac{2 π}{3}]} = \frac{A}{sin [\frac{π}{12}]}$ $36/[sin[[2pi]/3]]=A/[sin[pi/12]]$

$A = sin [\frac{π}{12}] \times \frac{36}{sin [\frac{2 π}{3}]}$ $A=sin[pi/12] xx 36/[sin[[2pi]/3]]$

A=10.75890567

A triangle has sides A, B, and C. The angle between sides A and B is 2π3(2pi)/3. If side C has a length of 3636 and the angle between sides B and C is π12pi/12, what is the length of side A?