Optional extension In $\triangle ABC$, $D$ lies on $AB$, $AD=3$ cm, $DB=6$ cm, $BC=12$ c

Question

Optional extension In $\triangle ABC$, $D$ lies on $AB$, $AD=3$ cm, $DB=6$ cm, $BC=12$ cm, and $E$ is the midpoint of $BC$. The line through $D,E$ is parallel to $AF$, where $F$ lies on $BC$. $A$ $B$ $C$ $D$ $E$ $F$ $3$ $6$ $12$ $4$

Accepted Answer

(a) $\triangle BFA$ (b) $9\text{ cm}$ (c) $1:1$ (d) $27\text{ cm}^2$

Midpoint and parallel-line area reasoning

Midpoint and parallel-line area reasoning

Solution:

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