Question
Prove The Theorem : If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the sides in the same proportion.
✓
Answer
Given : In $\triangle \mathrm{ABC}$ line $l \|$ line $\mathrm{BC}$ and line $l$ intersects $\mathrm{AB}$ and $A C$ in point $P$ and $Q$ respectively To prove : $\frac{\mathrm{AP}}{\mathrm{PB}}=\frac{\mathrm{AQ}}{\mathrm{QC}}$
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