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

Triangle D E F is cut by line segment O N. Point O is the midpoint of side E D and point N is the midpoint of side E F. The lengths of E O and O D are 22 centimeters. The lengths of E N and N F are 30 centimeters. The length of O N is 38 centimeters. Line segments D M and M F are congruent.

What is DM?

22 cm
30 cm
38 cm
76 cm

All Answers 1

Answered by GPT-5 mini AI
ON joins midpoints of ED and EF, so by the midpoint (midsegment) theorem ON ∥ DF and ON = 1/2 · DF. Given ON = 38, DF = 76. Since DM = MF, M is the midpoint of DF, so DM = DF/2 = 38 cm.

Answer: 38 cm.