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Mathematics 22 Online
OpenStudy (love_333):

Medal + Fan: A park in a subdivision has a triangular shape. Two adjacent sides of the park are 553 ft and 525ft. The angle between the sides is 53 degrees. Find the area of the park to the nearest square foot.

OpenStudy (love_333):

@563blackghost Do you know how to work this one?

OpenStudy (legomyego180):

|dw:1463520093998:dw|

OpenStudy (love_333):

@legomyego180 What do I do from there?

OpenStudy (legomyego180):

Im not sure, what class is this?

OpenStudy (love_333):

Geometry

563blackghost (563blackghost):

Do you have answer choices to this cause I have one way but im not so sure

OpenStudy (love_333):

@563blackghost @legomyego180

OpenStudy (legomyego180):

Im not sure, there is a formula you can use to solve this but you dont learn it until later. I cant think of any other way to solve it though. Maybe @563blackghost will know

OpenStudy (love_333):

No, I do not @563blackghost

OpenStudy (legomyego180):

You dont know anything about sine and cosine yet do you?

OpenStudy (love_333):

Yes, I do but I'm not very good at them yet

563blackghost (563blackghost):

She can probably still use \(\Huge{A=\frac{1}{2}(a \times p)}\) For this problem...

OpenStudy (legomyego180):

Ever heard of law of sine and law of cosine?

OpenStudy (love_333):

No? @legomyego180

OpenStudy (love_333):

How would that work? @563blackghost

563blackghost (563blackghost):

Hmmm.... To solve we would need to find the apothem as well as the side length.... |dw:1463520679635:dw||dw:1463520700151:dw|

563blackghost (563blackghost):

Do you think that would work @legomyego180 ?

OpenStudy (legomyego180):

\[Area = \frac{ (553)(525)\sin(53) }{ 2 }\]

OpenStudy (legomyego180):

This is the correct way, I believe. http://www.mathopenref.com/triangleareasas.html

OpenStudy (love_333):

@legomyego180 Whoa When I do that I get 115931.9272 Isn't that a pretty big number for something like that?

OpenStudy (legomyego180):

You would need to use a calculator

OpenStudy (love_333):

I did use my calculator

OpenStudy (legomyego180):

Your dealing with big numbers, area will be big, yup

OpenStudy (legomyego180):

Thats what I got as well.

OpenStudy (legomyego180):

You would still have to use law of sines using that method, @563blackghost. I think it would work though.

OpenStudy (love_333):

Hahaha something about this equation just doesn't seem right, I almost want to skip it all together... XD

563blackghost (563blackghost):

Yea mines incorrect I barely realized that each side was different so when I multiplied `234.25` I wasn't suppose to do that and I got your guys answer :P

OpenStudy (legomyego180):

Its the correct way to do it. Area = SideA*SideB*Cos(C)/2

OpenStudy (love_333):

@legomyego180 That is the way I worked it and turned it in.

OpenStudy (legomyego180):

Sweet.

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