Question

$ABC$ is a triangle right angled at $C$ and $M$ is mid-point of hypotenuse $AB.$ Line drawn through $M$ and parallel to $BC$ intersects $AC$ at $D.$ then, $:$ $MD$ is perpendicular to $AC.$
If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

Given : $△ABC$ is right angled at C, M is the mid-point of hypotenuse AB . $MD\parallel BC$
Since,$MD\parallel BC$ $\angle ADM=\angle ACB$ (Corresponding angles)
Hence, $\angle ADM={90}^{\circ }$
But, $\angle ADM+\angle CDM=90$ (Angles on a straight line)
$90+\angle CDM=180$
$\angle CDM={90}^{\circ }$
Thus, $MD\perp AC$