Question

solve the acute triangle

Answer 1

Draw an altitude of the triangle, PS with S on QR. Then \[PS=11sinx=12\sin61\]if x is the angle at Q. The equation will give us a solution for x. The angle at P is 180-61-x. QR is 11cosx+12cos61.

Answer 2

im confused do i have to use the sine law?

Answer 3

Actually, I think the construction gives the same information that you would get from the sin rule. Let me look for a second....

Answer 4

yes, use the sin law

Answer 5

11cm/sin(61) = 12cm / sin(angle opposite 12cm side)

Answer 6

I did it by construction, but the sin rule will give exactly the same answer.

Answer 7

then solve for the next angle.
use that angle to solve the sin law for the next side length.
if you need more help just let me know.