Mathematics
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OpenStudy (ayee_ciera):
The area of a square garden is 200 m². How long is the diagonal?
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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
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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
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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
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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):
\[l ^{2}+l ^{2}=d ^{2}\]
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OpenStudy (michele_laino):
so:
\[200+200=d ^{2}\]
OpenStudy (michele_laino):
@ayee_ciera
what is d?
OpenStudy (michele_laino):
d=20 @ayee_ciera