A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ . If side C has a length of $8$ and the angle between sides B and C is $pi/12$ , what is the length of side A?

Question

1369 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-13T14:39:47

$A=2(sqrt6-sqrt2)$

Since the given triangle is a right triangle ( $hat(AB)=pi/2$ ),

let's appy the following rule:

$A=C*sin hat(BC)$

$=8*sin(pi/12)$

$=cancel8^2*(sqrt6-sqrt2)/cancel4$

$=2(sqrt6-sqrt2)$

A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2(pi)/2. If side C has a length of 8 8 and the angle between sides B and C is pi/12pi/12, what is the length of side A?