A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{2}$ $(pi)/2$ . If side C has a length of $8$ $8$ 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 · 2017-02-13T14:39:47

$A = 2 (\sqrt{6} - \sqrt{2})$ $A=2(sqrt6-sqrt2)$

Since the given triangle is a right triangle ( $ˆ A B = \frac{π}{2}$ $hat(AB)=pi/2$ ),

let's appy the following rule:

$A = C \cdot sin ˆ B C$ $A=C*sin hat(BC)$

$= 8 \cdot sin (\frac{π}{12})$ $=8*sin(pi/12)$

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

$=2(sqrt6-sqrt2)$

A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2π2(pi)/2. If side C has a length of 8 88 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?