Maths-

General

Easy

Question

# MN is the midsegment of △ ABC.

Find MN.

Also, find AC if CN = 35 cm

## The correct answer is: Hence the length of AC = 70 cm

### SOLUTION:

HINT: Use the property of a midsegment in a triangle and find out.

Complete step by step solution:

A midsegment of a triangle is a segment that connects the midpoints of two sides of

a triangle. Its length is always half the length of the 3rd side of the triangle.

From this property, we have MN =

⇒ MN = 45 in.

Hence the length of MN = 45 in.

Here, CN = 35 cm.

Since MN is the midsegment of AB, we have N as the midpoint of AC.

⇒ AC = 2CN

⇒ AC = 2 × 35

⇒ AC = 70 cm

Hence the length of AC = 70 cm.

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