Question

Segment EF is a mid segment of triangle ABC. IF BC = 12 cm, what is the measure of segment EF?

a. 28 cm
b. 21 cm
c. 6cm
d. 12 cm
(please explain)

Answer 1

The answer is 6 cm. The mid segment is half of BC

Answer 2

The measure of length of segment EF is 6 cm

C is correct.

Explanation:

Segment EF is a mid segment of triangle ABC.

If BC = 12 cm

Please see the attachment for diagram.

EF is mid-segment of ABC

E is mid point of AB and F is mid point of AC.

Using mid point theorem.

EF is parallel to BC

EF is half of BC

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

`BC=(1)/(2)* 12 = 6`

Hence, The measure of length of segment EF is 6 cm