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Mathematics 9 Online
OpenStudy (piercetheveil47):

help w this question ??

OpenStudy (piercetheveil47):

OpenStudy (piercetheveil47):

yes he is correct?

OpenStudy (anonymous):

is it clear that the diagonal OM is \(6\sqrt2\) ?

OpenStudy (piercetheveil47):

no, it is not? @satellite73

OpenStudy (anonymous):

ok then lets make sure it is clear

OpenStudy (anonymous):

|dw:1416803629265:dw|

OpenStudy (anonymous):

by pythagoras, \[6^2+6^2=d^2\\ 2\times 6^2=d^2\\ \sqrt{2\times 6^2}=d\\ 6\sqrt2=d\]

OpenStudy (anonymous):

more generally the diagonal of a square with side \(a\) is \(a\sqrt2\)

OpenStudy (anonymous):

now use pythagoras again to find the diagonal here |dw:1416803755472:dw|

OpenStudy (piercetheveil47):

13.42?

OpenStudy (anonymous):

\[12^2+6^2=d^2\\ \sqrt{12^2+6^2}=d\]

OpenStudy (anonymous):

forget decimals

OpenStudy (piercetheveil47):

1342?

OpenStudy (piercetheveil47):

or just 13

OpenStudy (anonymous):

just use radicals \[\sqrt{144+36}=\sqrt{180}=6\sqrt5\]

OpenStudy (anonymous):

in any case \[6\sqrt5\] is not 2 times \(6\sqrt2\) so the answer is NO

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