Q: 7     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. Show that                (ii) $\small MD\perp AC$

M mansi

Given: 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.

To prove : $\small MD\perp AC$

Proof :  $\angle$ADM = $\angle$ACB      (Corresponding angles)

$\angle$ADM= $90 \degree$.           ($\angle$ACB = $90 \degree$)

Hence,$\small MD\perp AC$

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