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Mathematics 23 Online
OpenStudy (anonymous):

What is the value of H? 4 8sqrt3 16 8sqrt2

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

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

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.

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

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!

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