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A ladder is r...

Question

A ladder is resting with one end in contact with the top of a wall of height $12$ metres and the other end on the ground is at a distance of $5$ metres from the wall.
The length of the ladder is(in m) .......

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Solution

${A B}^{2} = {A C}^{2} + {B C}^{2}$
$= 5^{2} + 12^{2}$
$= 169$
$∴$ $A B = 13 m$

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