Mathematics
9 Online
OpenStudy (anonymous):
Find the missing part
l = 8, w = 4, h = 2
Find the diagonal (d) of the base
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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\[^{2}\]
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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.
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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
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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}
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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! ;)
\[d=4\sqrt{5}\]