Question

If in a $\Delta ABC,AC=12,BC=13$ and $AB=5,$ then the distance of $A$ from $BC$ is

• A. $\frac{25}{13}$
• B. $\frac{60}{13}$
• C. $\frac{65}{12}$
• D. none of these

Answer 1

Answer: (B)

$\frac{60}{13}$

$\Delta ABC$ is a right angled triangle
$\Rightarrow$ 2(Area of triangle) $=13d=12\times 5$
where d= distance of A from BC
$\therefore d=\frac{60}{13}$