Question

From the given figure, find the value of m if, sec C is $\frac{5}{m}$.

Answer 1

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

In $△ABC$,

$A{B}^2+B{C}^2=A{C}^2$

$3^2+4^2=A{C}^2$

$A{C}^2=25$

$AC=5$ cm
$\sec C=\frac{AC}{BC}=\frac{5}{4}$

$but,\sec C=\frac{5}{m}$

$\therefore m=5$