Question

From the given figure, find the value of m if cot A is $\frac{3}{m}$,

Answer 1

Given: $\angle B={90}^{\circ }$, $AB=3$ and $BC=4$

In $△ABC$,

$\cot A=\frac{AB}{BC}=\frac{3}{4}$

$\because \cot A=\frac{3}{m}$

$\therefore m=4$