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Question

In ABC, AB=9cm , BC=10cm and AC=13cm.If G is centroid of ABC and D is midpoint of BC then the length of GD is

A
25
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B
20
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C
103
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D
203
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Solution

The correct option is C 103
AD is median of ABC
AD2=14[2AB2+2AC2BC2]
=14[2×92+2×132102]
=14[162+338100]=100
AD=10
GD=13AD=103

1206947_1298036_ans_596354bda2ae4fe089dc8c081bc06186.jpg

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