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The Mid-Point Theorem

In △ ABC, M...

Question

In $△$ ABC, M is mid-point of BC. Length of AM is 9. N is a point on AM such that MN = 1 unit.

4

units

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3

units

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2

units

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5

units

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Solution

The correct option is C $2$ units
AM = $9$ units
G is centroid of $Δ A B C$
Hence, $A G = \frac{2}{3} \times 9$ units = 6 units
Hence, GM = $3$ units
GN = $3 - 1 = 2$ units

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