A triangle has sides A, B, and C. Sides A and B are of lengths $9$ and $2$ , respectively, and the angle between A and B is $pi/6$ . What is the length of side C?

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Answer 1 · 2018-06-21T11:08:41

The length of side C is $7.34$ unit.

Angle between Sides $A and B$ is $/_c= pi/6=180/6=30^0$

Sides $A=9 , B=2$ Cosine rule: (for all triangles) is

$C^2=A^2 + B^2 − 2 A B cos(c)$

$:. C^2=9^2 + 2^2 − 2*9*2*cos(30)$ or

$C^2~~53.82 :. C ~~ 7.34 (2 dp)$

The length of side C is $7.34$ unit [Ans]

A triangle has sides A, B, and C. Sides A and B are of lengths 99 and 22, respectively, and the angle between A and B is pi/6pi/6. What is the length of side C?