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OpenStudy (darkbluechocobo):

Help with Finding the Area of Oblique Triangles

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):

\[\frac{ a }{ \sin42.5 }=\frac{ 210 }{ \sin66.1 }\]

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

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

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):

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

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

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