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Mathematics 9 Online
OpenStudy (anonymous):

Find the missing part l = 8, w = 4, h = 2 Find the diagonal (d) of the base

OpenStudy (anonymous):

OpenStudy (anonymous):

Maybe a drawing of the base will help: |dw:1342671787984:dw| D is the one that we are looking for, right?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

And there we can use the Pythagorean theorem. Remember it?

OpenStudy (anonymous):

yea a[^{2}\]+b\[^{b}\]=c\[^{2}\]

OpenStudy (anonymous):

Nice! And what do we have to plug in for a and b in this case?

OpenStudy (anonymous):

d and l

OpenStudy (anonymous):

a=l, and b=w in this case, so: \[d^2=l^2+w^2\] How do we continue?

OpenStudy (anonymous):

uhh not very good with pyth theorem. could u assist

OpenStudy (anonymous):

Just plug the values of l and w and solve for d. Tell me if you don't feel sure.

OpenStudy (anonymous):

\[d^2=8^4+4^2\]

OpenStudy (anonymous):

d=8.94427191

OpenStudy (anonymous):

Excellent!

OpenStudy (anonymous):

yay. but can u put that in radical form

OpenStudy (anonymous):

Sure! A sec please

OpenStudy (anonymous):

\[d=\sqrt{8^2+4^2}=\sqrt{80}=\sqrt{16*5}\] What else can we do there?

OpenStudy (anonymous):

hint: sqrt{16}=4

OpenStudy (anonymous):

@rickol Are you there?

OpenStudy (anonymous):

yea........................ i don't know

OpenStudy (anonymous):

d=4*sqrt{5}

OpenStudy (anonymous):

\[d=4*\sqrt{5}\]

OpenStudy (anonymous):

Makes sense?

OpenStudy (anonymous):

Sorry, but I have to go. I hope it helps. See you! Bye! ;) \[d=4\sqrt{5}\]

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