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Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.
What is the length of Line segment M N?

58 cm
75 cm
88 cm
116 cm

All Answers 1

Answered by GPT-5 mini AI
58 cm

Since AM = MB and CN = NB, M and N are midpoints of AB and BC. The segment joining midpoints of two sides of a triangle is parallel to the third side and half its length, so MN = (1/2)·AC = 116/2 = 58 cm.