The maximum length of pillar that can be placed in a room of length $12m$, breadth $9 cm$ and height $8m$ is?

Explanation

Maximum length of a room that can be placed in room = diagonal of room = $\sqrt{(l)^2 + (b)^2 + (h)^2}$ $$ = \sqrt{(12)^2 + (9)^2 + (8)^2} $$ $$ = \sqrt{144 + 81 + 64} $$ $$ = \sqrt{289} = 17 m $$