im to lazy to draw the abc triangle lol, but that explains the law of cosines well
OpenStudy (campbell_st):
the law of cosines says
\[Cos(A) = \frac{b^2 = c^2 - a^2}{2bc}\]
does that help
OpenStudy (campbell_st):
you have
a = 5.3, b = 7 and c = 4... plug them in and post the answer you get
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OpenStudy (campbell_st):
oops should read
\[\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}\]
OpenStudy (jennyrlz):
^
OpenStudy (anonymous):
oh wait is it true?
OpenStudy (jennyrlz):
ill leave it to him, he knows what he is doing :)
OpenStudy (jennyrlz):
oh he left...
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OpenStudy (jennyrlz):
well why do you think it is true?
OpenStudy (jennyrlz):
he did the "hard" part the rest is algebra
OpenStudy (campbell_st):
well you need to find the angle measure using the law of cosines to see if its true or not
OpenStudy (campbell_st):
an alternative solution is to google a triangle solver
put in the 3 sides and then look at the angles that are calculated
OpenStudy (anonymous):
which law of cosine should i use
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OpenStudy (jennyrlz):
if only i wouldve thought of this when i was taking pre-calc...
OpenStudy (campbell_st):
use the one I posted above
OpenStudy (anonymous):
how do i use it....do i sub
OpenStudy (campbell_st):
and look for the measures that match the labels a, b and c
OpenStudy (campbell_st):
a = 5.3 b = 7 and c = 4
like this
\[cos(\theta) = \frac{7^2 + 4^2 - 5.3^2}{2 \times 7 \times 4}\]
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OpenStudy (anonymous):
doin the math.....
OpenStudy (anonymous):
\[\cos \theta \frac{ 49+16-28.09 }{66 }\]
thats what i have so far
OpenStudy (anonymous):
is it right
OpenStudy (anonymous):
so far
OpenStudy (campbell_st):
well I think the denominator is 56
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OpenStudy (campbell_st):
2 x 4 x 7 = 56
OpenStudy (anonymous):
oh yea
OpenStudy (anonymous):
wait so it is true?
OpenStudy (campbell_st):
not yet, if you do the calculation you'll find
\[\cos(\theta) = 0.659107\]
so to find the angle, using a calculator its
\[\theta = \cos^{-1}(0.659107)\]
OpenStudy (anonymous):
i got 0.79053943 ? how do i punch this equation in a calculator