Mathematics
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OpenStudy (darkbluechocobo):
Help with Finding the Area of Oblique Triangles
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OpenStudy (darkbluechocobo):
Find the area of the following triangle. Round your answer to the nearest tenth. c = 210 ft, A = 42.5°, B = 71.4°
OpenStudy (darkbluechocobo):
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OpenStudy (darkbluechocobo):
180-71.4-42.5=66.1 C=66.1
OpenStudy (darkbluechocobo):
Now we can use the law of sines to find either a or b
OpenStudy (darkbluechocobo):
\[\frac{ a }{ \sin42.5 }=\frac{ 210 }{ \sin66.1 }\]
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OpenStudy (darkbluechocobo):
\[a=\frac{ 210\sin42.5 }{ \sin66.1 }\]
OpenStudy (xapproachesinfinity):
why would you use the law of sine?
OpenStudy (darkbluechocobo):
To get the other side so we can use 1/2ac or bc sinB or A
OpenStudy (darkbluechocobo):
to get the area
OpenStudy (xapproachesinfinity):
to find the area you only need one side
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OpenStudy (xapproachesinfinity):
what you need is the altitude
OpenStudy (xapproachesinfinity):
oh you do need law of sine
two sides are needed for that
OpenStudy (xapproachesinfinity):
oh no it is not gonna be 1/2 ac as you thing
you need the altitude
OpenStudy (darkbluechocobo):
But thats the way I was taught S:
OpenStudy (darkbluechocobo):
and a would equal 155.18001622
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OpenStudy (darkbluechocobo):
or 155.2
OpenStudy (xapproachesinfinity):
well that must be a special triangle, with this triangle you can't do that
to find the area altitude is a must
OpenStudy (xapproachesinfinity):
unless you are dealing with right angled trianlge
OpenStudy (xapproachesinfinity):
check your notes and see for yourself
OpenStudy (darkbluechocobo):
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OpenStudy (xapproachesinfinity):
the altitude can be obtained using the side you found
and sin 71.4
OpenStudy (darkbluechocobo):
It doesn't mention anything about altitude
OpenStudy (xapproachesinfinity):
oh yeah that is also true
but what you did above got me wrong
you wrote 1/2ac
you didn't include sin of the angles btw the the two leges
OpenStudy (xapproachesinfinity):
legs
OpenStudy (xapproachesinfinity):
yeah that seems good to do as well
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OpenStudy (xapproachesinfinity):
vectors?
OpenStudy (darkbluechocobo):
I said that though we could work with 1/2 ac(orbc)sin(A or B)
OpenStudy (xapproachesinfinity):
just misunderstand what you were doing, you are doing good :)
OpenStudy (darkbluechocobo):
:p Thank you I was confused a lil. So what about this altitude though