Question

length and breadth of a rectangle are 35 cm and 12 cm respectively find length of its diagonal

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Answer 1

diagonal = UNDER ROOT 1225+144

= under root1369

= 37 cm

Answer 2

${ \sf{ \huge \underline{Given}}}$

${ \rm{ \large{The \: lenght(l) = 35 \: cm}}}$

${ \rm{ \large{The \: breadth(b) = 12\: cm}}}$

${ \rm{ \large{let \: the \: diagonal = d}}}$

${ \sf{ \huge \underline{Solution}}}$

${ \rm{ \large{ Using \: Pythagras \: Theoram \colon}}}$

${ \rm{ \large{ {l}^{2} + {b}^{2} = {d}^{2} }}}$

${ \rm{ \large{ {(35)}^{2} + {(12)}^{2} = {d}^{2} }}}$

${ \rm{ \large{ \implies{1225} + {144}= {d}^{2} }}}$

${ \rm{ \large{ \implies1370= {d}^{2} }}}$

${ \rm{ \large{ \implies {d}^{2} = 1370 }}}$

${ \rm{ \large{ \implies {d}= \sqrt{13706} }}}$

${ \rm{ \large{ \implies {d}= 37.}}}$

${ \tt{ \large{ The \: diagonal \: is = 37.}}}$