Mathematics
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OpenStudy (anonymous):
What is the value of H?
4
8sqrt3
16
8sqrt2
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OpenStudy (anonymous):
OpenStudy (anonymous):
@sleepyjess
OpenStudy (sleepyjess):
Do you know the Pythagorean Theorem?
OpenStudy (anonymous):
Yes
OpenStudy (sleepyjess):
Ok, we are going to use that here
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
So what should i start by doing because they only give U side A which is 8
OpenStudy (sleepyjess):
But since this is a 45-45-90 triangle, sides A and B are the same length :)
OpenStudy (anonymous):
yes, use the fact that you know a=b, then plug into a^2+b^2=h^2
OpenStudy (anonymous):
8^2+8^2=128
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OpenStudy (anonymous):
64+64=128?
OpenStudy (anonymous):
that's h^2, but you need h
OpenStudy (anonymous):
h^2=128 so what's h?
OpenStudy (anonymous):
what should i do to find it?
OpenStudy (sleepyjess):
I'll give you an example. If c^2 = 25, we would need to take the square root of both sides because \(\sqrt{c^2}\) is the same as c.
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OpenStudy (anonymous):
you have to take the square root
OpenStudy (anonymous):
I was going to do the square root but i saw that there was no square root for it
OpenStudy (anonymous):
well 128=8(16) right?
OpenStudy (anonymous):
\[\sqrt{128}=\sqrt{(16)(8)}=\sqrt{16}\times \sqrt{8}\]
OpenStudy (anonymous):
I knew this but i was thinking it had to be a number times itself. for example 11 x 11 or 12 x 12
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OpenStudy (anonymous):
not exactly those numbers i just gave u that as an example
OpenStudy (anonymous):
that's how you simplify though. so do that until you can't anymore I guess lol
OpenStudy (anonymous):
So 8sqrt2 is the answer?? @sleepyjess @Thefaceless
OpenStudy (anonymous):
yes it is!