Question

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D, but it is uncertain that D is the mid-point of AC.

• A. True
• B. False

Answer 1

The correct option is B False

Given, ABC is a right angled triangle.
or, $\angle C={90}^{\circ }$
And M is the mid-point of AB.
Also, DM || BC.
In $\Delta$ ABC, BC || MD and M is mid - point of AB.
$\therefore$ D is the mid - point of AC. ( By converse of mid-point theorem)