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What will be the maximum length of a bamboo which is kept in a room of $12 \mathrm{~m}$ length, $9 \mathrm{~m}$ breadth and 8 $\mathrm{m}$ height?

(a) $9 \mathrm{~m}$

(b) $29 \mathrm{~m}$

(c) $19 \mathrm{~m}$

(d) $17 \mathrm{~m}$

Solution:

Required length

$$\begin{array}{l} =\sqrt{(l)^{2}+(b)^{2}+(h)^{2}} \\ =\sqrt{(12)^{2}+(9)^{2}+(8)^{2}} \\ =\sqrt{144+81+64} \\ =\sqrt{289}=17 \mathrm{~m} ; \text { Ans. } \end{array}$$

$\therefore$ correct option $is($ d $)$

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