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

- anonymous

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- PhoenixFire

Leg xy is where? Can you draw a picture? What's the height of the triangle?

- anonymous

it doesnt give me one i can try and draw one

- PhoenixFire

\[A={1 \over 2}bh\]
|dw:1354695650945:dw|

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- anonymous

|dw:1354695794159:dw|

- anonymous

thats what it gives me

- anonymous

XY is on the bottom by the way forgot to add all that

- PhoenixFire

|dw:1354695885781:dw|

- anonymous

no it is not. all it gives me is the area which is 36cm2

- anonymous

i want to say its 12 but not sure

- anonymous

since 36 is a perfect square.\[ \frac{ 1 }{ 2}(12)(6)=36cm^{2}\]

- anonymous

the base has to be 12

- anonymous

thats what im thinking

- anonymous

it gives me 5 different answers to pick from 6,9,12,18,24

- PhoenixFire

No. \[(0.5)(24)(3)=36\]

- anonymous

so your saying 24 would be the length of leg xy?

- tamtoan

@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.

- anonymous

well for this question you need to know either the height or the base

- PhoenixFire

Could be a lot of different numbers.
You're missing information.

- anonymous

i can take a picture of the diagram on my cell and upload it for you guys to see the diagram given to me

- anonymous

\[\frac{ 1 }{ 2}bh=36cm ^{2}\]
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

- anonymous

give me a few i will upload a photo with everything given to me

- anonymous

##### 1 Attachment

- anonymous

that is what they have given me to work with

- PhoenixFire

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

phoenixfire, you got the other way around :) XY is twice as long as YZ :)

- anonymous

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.

- anonymous

so the length of leg xy is 24?

- PhoenixFire

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

there :)

- PhoenixFire

My bad for that mistake. haha, Thanks @tamtoan

- anonymous

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

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 :)

- anonymous

thank you both for helping me. i did become fans and i think gave a medal? but thanks alot!!!

- PhoenixFire

np :) Good Luck

- anonymous

thank you

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