Question

If is the midsegment and is parallel to , then the value of is:

28.
56.
112.
None of the choices are correct.

Answer 1

Explanation:

you can see this either as projection or as 2 similar triangles.

in any case we know that the scale factor is the same for every line and side.

midsegment means that B and D are in the middle of CA and CE. so, the scale factor from CB to CA is 2.

the same scaling factor applies to BD to AE.

AE = 56×2 = 112