points o and n are mid - points of the sides of triangle def. what is dm? 22 cm 30 cm 38 cm 76 cm

Explanation:

Step1: Recall mid - segment theorem

The line segment joining the mid - points of two sides of a triangle is parallel to the third side and half its length. Here, (ON) is a mid - segment of (\triangle DEF) with (ON\parallel DF) and (ON=\frac{1}{2}DF). Since (ON = 38) cm, then (DF=2\times ON = 76) cm.

Step2: Use the property of mid - points on (DF)

Since (M) is the mid - point of (DF), then (DM=\frac{1}{2}DF).

Step3: Calculate (DM)

We know (DF = 76) cm, so (DM=\frac{76}{2}=38) cm.

Answer:

38 cm