Mathematics

Problem

6. 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)

\mathrm{MD} \perp \mathrm{AC}

(iii)

\mathrm{CM}=\mathrm{MA}=\frac{1}{2} \mathrm{AB}

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