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Mathematics 8 Online
alones (alones):

If the hypotenuse of a right triangle is

alones (alones):

\(2\sqrt{3}\) units long and one of the legs is \(\sqrt{3}\)units long, then how long is the other leg?

alones (alones):

For which i got 3

OpenStudy (owlcoffee):

Make use of the pythagorean theorem: \[a^2+b^2=c^2 \] Thereby, by given information we know that \(c=2 \sqrt3\) and let's say that "a" is the leg with the given length, then \(a= \sqrt 3\), then replacing: \[(2\sqrt 3)^2 = (\sqrt 3)^2 +b^2\] Simplifying: \[12=3+b^2\] Now it's a matter of solving for "b".

alones (alones):

4

OpenStudy (owlcoffee):

Not correct. \[b^2=12-3\]

alones (alones):

Oh 12 -3.. duhh i forgot it's actually 9

RhondaSommer (rhondasommer):

\[\sqrt{9}=?\]

alones (alones):

3

OpenStudy (owlcoffee):

Well done! :)

alones (alones):

wait that' sall o_o

RhondaSommer (rhondasommer):

lol I helped a little bit XD

RhondaSommer (rhondasommer):

yep

alones (alones):

Mkay thanks guys cx

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