Question

What is BC ?

Enter your answer in the box.
units

Answer 1

BC = 2(DF)
BC = 2(4)
BC = 8

answer
BC = 8

Answer 2

Answer-

$\boxed{\boxed{AC=8}}$

Solution-

Triangle Midpoint Theorem-

The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

As given in the question,

AD = DB, so D is the mid point of AB,

FA = FC, so F is the mid point of AC.

Hence, DF is the line joining the midpoints of AB and AC.

Applying Triangle Midpoint Theorem,

$\Rightarrow DF=\dfrac{1}{2}BC$

$\Rightarrow BC=2DF$

$\Rightarrow BC=2\times 4$

$\Rightarrow BC=8$

Therefore, the side length of BC is 8 units.