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

`\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=(1)/(2)BC`

`\Rightarrow BC=2DF`

`\Rightarrow BC=2* 4`

`\Rightarrow BC=8`

Therefore, the side length of BC is 8 units.