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Maths-

General

Easy

Question

M and N are midpoints of the sides AB and AC respectively.
Which of the given statements is NOT correct?

BC = 2MN
MN = 2BC
MN = $\frac{1}{2}$ BC
AN = $\frac{1}{2}$ AC

hint Hint:

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

The correct answer is: MN = 2BC

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.
Using this property,
(a) BC = 2MN is correct.
(b) MN = 2BC is incorrect according to the property.
c) MN = $1 half$ BC is correct.
(d) AN = $1 half$ AC is correct, since N is the midpoint of AC
Hence option B is wrong.

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