Mathematics
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OpenStudy (anonymous):
Find the smallest angle with sides 2m, 3m, 4m.
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OpenStudy (anonymous):
The angle opposite to the smallest side is smallest angle in a trianglr
OpenStudy (anonymous):
I mean triangle
OpenStudy (anonymous):
saura is right.
OpenStudy (anonymous):
and we will use cosine for this right?
OpenStudy (anonymous):
A greater angle of a triangle is opposite a greater side.
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OpenStudy (anonymous):
2^2 = 4^2 + 3^2 2(4)(3) (cos x)
OpenStudy (anonymous):
I see can someone show me the cosine step, I keep messing up the BEDMAS
OpenStudy (anonymous):
Well if you have to find the exact angle. Haven't gotten there yet.
OpenStudy (anonymous):
YA use cosine rule if u want to find the exact value of the angle
OpenStudy (anonymous):
well can you show that for me, I tried a lot but failed each time. My steps just doesn't help me get the answer.
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OpenStudy (anonymous):
U want to find the value of smallest angle?
OpenStudy (anonymous):
yes. that's what the question asks.
OpenStudy (anonymous):
let x be the smallest angle
OpenStudy (anonymous):
then,
(2m)^2=(3m)^2+(4m)^2-2*3m*4m*cosx
OpenStudy (anonymous):
Now, solve for x
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OpenStudy (anonymous):
wait why is there an m there?
Regardless, 4m^2 = 9m^2 + 16m^2 - 24m*cosx
OpenStudy (anonymous):
did i do that right?
OpenStudy (anonymous):
(2m)^2=(3m)^2+(4m)^2-2*3m*4m*cosx
4m^2=9m^2+16m^2-24m^2 cosx
OpenStudy (anonymous):
ohhhhh
4m^2 -25m^2 = -24m^2 cosx
-21m^2/-24 = cosx
7/8 = cos x
inverse cos(7/8) = x
28.95 = x
OpenStudy (anonymous):
thankss :)
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OpenStudy (anonymous):
YEP
OpenStudy (anonymous):
:)yw