Question

Geometry: help me please!

Answer 1

DF = 28 units

AC = 64 units

CF = 32 units

Explanation:

In the given triangle ABC points D, E and F are the midpoints of the sides AB, BC and AC.

By midsegment theorem,

"Segment joining the midpoints of each side is parallel and measure the half of the opposite side"

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

=
`(56)/(2)`

= 28 units

AC = 2(DE)

= 2 × 32

= 64 units

CF =
`(1)/(2)(AC)`

=
`(64)/(2)`

= 32 units