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Mathematics 18 Online
OpenStudy (anonymous):

What is the length of side s of the square shown below?

OpenStudy (anonymous):

@MeganChase

OpenStudy (poopsiedoodle):

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OpenStudy (poopsiedoodle):

link = broken

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

hes right

OpenStudy (anonymous):

If you know any of the other sides, you know length s.

OpenStudy (anonymous):

|dw:1397509824938:dw|

OpenStudy (anonymous):

@MeganChase @gracie777 @poopsiedoodle

OpenStudy (anonymous):

i um...i think you need more information to be honest

OpenStudy (anonymous):

i mean all we know is the side with on it

OpenStudy (anonymous):

8 on it

OpenStudy (anonymous):

that's all the information i got i dont understand how can i get the length of s

OpenStudy (anonymous):

um...welll

OpenStudy (anonymous):

i know its a 45 45 90 triangle for both of them

OpenStudy (anonymous):

i no that too but do i use a2+b2=c2

OpenStudy (poopsiedoodle):

ok, so, it's a 45, 45, 90 triangle, so the 2 legs are multiples of 1, whereas the 8 is a multiple of \(\sqrt{2}\). So, you're multiplying the sides of that triangle by 4\(\sqrt{2}\). So, the side in question is 4\(\sqrt{2}\).

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