Question

a room without ceiling is 12 metre long for formative wide and 3 M high find the length of the longest rod that can be placed in that room
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Answer 1

$\underline { \pink { Dimensions \:of \:a \:room :}}$

Length (l) = 12 m,

Breadth (b) = 4 m ,

Height (h) =3 m

$Length \: of \: the \: longest \: rod \: that \:can \\be \: placed \: in \: that \: room = \sqrt{l^{2}+b^{2}+h^{2}}\\= \sqrt{ 12^{2} + 4^{2} + 3^{2}} \\= \sqrt{ 144 + 16 + 9 } \\= \sqrt{169}\\= \sqrt{13^{2}}\\= 13 \:m$

Therefore.,

$\red {Length \: of \: the \: longest \: rod \: that}$

$\red { can \:be \: placed \: in \: that \: room}\green { =13\:m }$

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