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ABC is a triangle right-angled at C. A ...

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
(i) D is the mid-point of AC
(ii) `M D_|_A C`
(iii) `C M\ =\ M A=1/2A B`

Text Solution

Verified by Experts


(i) In `ΔABC`,
It is given that M is the mid-point of AB and `MD || BC`.
∴ D is the mid-point of AC. [Converse of mid-point theorem]
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