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Mathematics 18 Online
OpenStudy (ayee_ciera):

The area of a square garden is 200 m². How long is the diagonal?

OpenStudy (ayee_ciera):

OpenStudy (ayee_ciera):

how?

OpenStudy (michele_laino):

@ayee_ciera what is the edge of your square?

OpenStudy (ayee_ciera):

idk it doesnt say

OpenStudy (phi):

the diagonal forms the hypotenuse of a right triangle. so you can use pythagorean theorem

OpenStudy (michele_laino):

ok! keep in mind that if l is the edge of your square, then, we have: \[l ^{2}=200\]

OpenStudy (ayee_ciera):

ok

OpenStudy (michele_laino):

ok! so in order to find l, you have to calculate this: \[l=\sqrt{200}\]

OpenStudy (ayee_ciera):

i got 14.14 which equal 10 square rooted 2

OpenStudy (ayee_ciera):

so its c

OpenStudy (michele_laino):

that's right! \[10\sqrt{2}\]

OpenStudy (ayee_ciera):

thx (:

OpenStudy (michele_laino):

wait please!

OpenStudy (ayee_ciera):

k

OpenStudy (michele_laino):

you jnow the edge, nevertheless you have tocalculate the diagonal

OpenStudy (michele_laino):

sorry you know the edge...

OpenStudy (michele_laino):

in order to findi the diagonal, please keep im mind this: |dw:1418740556990:dw|

OpenStudy (ayee_ciera):

alright

OpenStudy (michele_laino):

please apply the pitagora theorem

OpenStudy (michele_laino):

\[l ^{2}+l ^{2}=d ^{2}\]

OpenStudy (michele_laino):

so: \[200+200=d ^{2}\]

OpenStudy (michele_laino):

@ayee_ciera what is d?

OpenStudy (michele_laino):

d=20 @ayee_ciera

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