Question

Points O and N are midpoints of the sides of triangle DEF.

Answer 1

Answer:

C. 38 cm

Step-by-step explanation:

Answer 2

Answer:

$DM=38\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangles DEF and OEN are similar by AA Similarity Postulate

Remember  that if two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

$\frac{DE}{OE}=\frac{DF}{ON}$

substitute the given values

$\frac{44}{22}=\frac{DF}{38}$

$2=\frac{DF}{38}$

$DF=2(38)=76\ cm$

$DF=2DM\\76=2DM\\DM=38\ cm$