Question

D and F are mid-points of sides AB and AC of a triangle ABC. A line through F and parallel to AB meets BC at point E. Find AB (in cm), if EF = 4.8 cm.

• A. 9.36
• B. 9.6
• C. 4.8
• D. 5

Answer 1

The correct option is B 9.6

Given: $D$ and $F$ are mid points of AB and AC respectively.

Hence, by mid point theorem, $DF\parallel BC$
Also, given $BD\parallel EF$

Since, opposite sides are parallel to each other. Hence, $BDEF$ is a parallelogram

$BD=EF$

$\frac{1}{2}AB=EF$ (D is mid point of AB)

$AB=2EF$

$AB=2\left(4.8\right)$

$AB=9.6$ cm