mattster9321
If the area of the triangle is 36cm2, what is the length, in cm, of leg xy. i missed class and i cant figure it out
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PhoenixFire
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Leg xy is where? Can you draw a picture? What's the height of the triangle?
mattster9321
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it doesnt give me one i can try and draw one
PhoenixFire
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\[A={1 \over 2}bh\]
|dw:1354695650945:dw|
mattster9321
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|dw:1354695794159:dw|
mattster9321
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thats what it gives me
mattster9321
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XY is on the bottom by the way forgot to add all that
PhoenixFire
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|dw:1354695885781:dw|
mattster9321
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no it is not. all it gives me is the area which is 36cm2
mattster9321
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i want to say its 12 but not sure
winterfez
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since 36 is a perfect square.\[ \frac{ 1 }{ 2}(12)(6)=36cm^{2}\]
winterfez
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the base has to be 12
mattster9321
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thats what im thinking
mattster9321
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it gives me 5 different answers to pick from 6,9,12,18,24
PhoenixFire
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No. \[(0.5)(24)(3)=36\]
mattster9321
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so your saying 24 would be the length of leg xy?
tamtoan
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@winterfez, that's incorrect, since 72 = 36x2 = 9x8= 18x4 and so on.. , many possibilities , i think phoenixfire leads him on the right track, need more info on this to solve.
winterfez
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well for this question you need to know either the height or the base
PhoenixFire
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Could be a lot of different numbers.
You're missing information.
mattster9321
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i can take a picture of the diagram on my cell and upload it for you guys to see the diagram given to me
winterfez
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\[\frac{ 1 }{ 2}bh=36cm ^{2}\]
I don't think you can find from this equation. Like PhoenixFire point out you need to know 1 more information for either base or height
mattster9321
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give me a few i will upload a photo with everything given to me
mattster9321
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mattster9321
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that is what they have given me to work with
PhoenixFire
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Leg XY is twice as long as YZ.
That's the info we needed.
Let b=XY
and h=2b
\[A={1 \over 2}2b^2=b^2\]\[\sqrt{36}=b=6\]
Your leg XY=6 and YZ=12
tamtoan
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phoenixfire, you got the other way around :) XY is twice as long as YZ :)
mattster9321
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sorry bout that. my bad. this is my first time using this site. i thought i mentioned it. but thank you very much PhoenixFire, tamotan, and winterfez.
mattster9321
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so the length of leg xy is 24?
PhoenixFire
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I see.
b=2h
h=YZ
\[A={1 \over 2}2h^2=h^2\]\[h=\sqrt{36}=6\]
\[b=2h=2(6)=12\]
XY = 12
tamtoan
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there :)
PhoenixFire
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My bad for that mistake. haha, Thanks @tamtoan
mattster9321
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alright so its 12 like i thought lol:) i was confused. normally im good at math. but missing class and then getting this confused me
tamtoan
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np phoenixfire :) i made mistakes all the time :) sometimes it's too easy that we are careless, anyway, good night all, bed time for me :)
mattster9321
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thank you both for helping me. i did become fans and i think gave a medal? but thanks alot!!!
PhoenixFire
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np :) Good Luck
mattster9321
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thank you