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OpenStudy (ohohaye):
OpenStudy (ask_if_im_a_ghost):
You have to use the law of cosines:\[c ^{2}=a ^{2}+b ^{2}-2*a*b*\cos C\]a and b are the lengths of two sides of a triangle and C is the angle between a and b. c is the length of other side of the triangle
OpenStudy (ohohaye):
@Ask_If_Im_A_Ghost how would I put in the formula?
OpenStudy (ask_if_im_a_ghost):
a and b would be your two known sides (in this case 2 and 5). C is the angle between these two side (in this case, Pi/3), then you just plug in.
OpenStudy (ohohaye):
|dw:1462763655093:dw|
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OpenStudy (ohohaye):
LIke this?
OpenStudy (ask_if_im_a_ghost):
yes
OpenStudy (ohohaye):
So how would I solve it?
OpenStudy (ask_if_im_a_ghost):
You plug in 5 for a, 2 for b, and Pi/3 for C
The resulting equation will look like c^2=(5)^2+(2)^2-2*(5)*(2)*Cos[Pi/3]
Where c is the length of the unknown side.
OpenStudy (ohohaye):
Oh ok, thank you
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OpenStudy (ohohaye):
I got \[c ^{2}= - 1.44975782\]
OpenStudy (ask_if_im_a_ghost):
I got something different.
c^2=25+4-20*Cos[Pi/3]
c^2=29-20*(1/2)
c^2=29-10
c^2=19