Optional extension In the diagram, $ABCD$ is a parallelogram, $E,D,C$ are collinear, and $EB$

Question

Optional extension In the diagram, $ABCD$ is a parallelogram, $E,D,C$ are collinear, and $EB$ meets $AD$ at $F$ and $AC$ at $P$. Given $EC:AB=4:3$, find $A$ $B$ $C$ $D$ $E$ $F$ $P$

Accepted Answer

(i) $4/3$ (ii) $3$.

Ratios in an extended parallelogram

Ratios in an extended parallelogram

Solution:

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