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Standard IX

Mathematics

Centroid Divides Median in the Ratio 2:1

In the given ...

Question

In the given figure, AD, BF and CE are medians of a triangle ABC and O is a point of concurrency of medians. If AD = 6 cm., then OD is equal to

2 cm

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3 cm

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4 cm

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\frac{2}{3}

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Solution

The correct option is B 2 cm
Since, O is the centroid of $Δ$ ABC,
$∴ O D = \frac{1}{3} A D$
$= \frac{1}{3} \times 6 = 2$ cm

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In the given figure, AD, BF and CE are medians of a triangle ABC and O is a point of concurrency of medians. If AD = 6 cm., then OD is equal to

The correct option is B 2 cmSince, O is the centroid of Δ ABC,∴OD=13AD =13×6=2cm

The correct option is B 2 cm
Since, O is the centroid of $Δ$ ABC,
$∴ O D = \frac{1}{3} A D$
$= \frac{1}{3} \times 6 = 2$ cm