A triangle has sides A, B, and C. Sides A and B are of lengths $7$ and $3$ , respectively, and the angle between A and B is $pi/6$ . What is the length of side C?

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Answer 1 · 2016-05-19T10:12:34

$C=9.715$

Here we know two sides $A$ and $B$ , which are $7$ and $3$ and angle between them, which is $pi/6$ .

To find third side, we can use cosine formula.

Hence $C^2=7^2+3^2-2xx7xx3xxcospi/6$

or $C^2-=49+9+42xx0.866=58+36.372=94.372$

or $C=sqrt94.372=9.715$

A triangle has sides A, B, and C. Sides A and B are of lengths 77 and 33, respectively, and the angle between A and B is pi/6pi/6. What is the length of side C?