Question

37. The diagonal and one side of the rectangular field are 289 m and 161 m
respectively. Find the other side.
(a) 180 m (b) 220 m (c) 230 m (d) 240 m​

Answer 1

Answer:

(289)^2=(161)^2+(other side)^2

(other side)^2=83521-25921. (other side)^=57600. other side=240 m

Answer 2

AnswEr :

$\frak{Given}\begin{cases} \textsf{ \: \: \: Diagonal of rectangular field} = \frak{289~m}&\\ \\ \textsf{ \: \: \: One side of rectangular field} = \frak{161~m}\end{cases}$

Need to find: The other side of the rectangular field.

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$\underline{ \bigstar\:\sf{ Using\; Pythagoras\: Theorem~ In~ \Delta ABC \; :}}$⠀⠀

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$:\implies\sf (AB)^2 + (BC)^2 = (AC)^2 \\\\\\:\implies\sf (BC)^2 = (AC)^2 - (AB)^2 \\\\\\:\implies\sf ( BC)^2 = (289)^2 - (161)^2 \\\\\\:\implies\sf (BC)^2 = 83521 - 25921 \\\\\\:\implies\sf (BC)^2 = 57600 \\\\\\:\implies\sf BC = \sqrt{57600} \\\\\\:\implies\underline{\purple{\boxed{\pmb{\frak{BC = 240\;m}}}}}\:\bigstar$

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$\therefore{\underline{\textsf{Hence,~the~other~side~of~field~is~\textbf{ Option d) 240 m}.}}}$

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