The centroid of an equilateral \triangle A B C is O. If A B=27 {cm}, then the length of A O is

SSC CHSL 12 Apr 2021 Shift 2 Paper

Section: Quantitative Aptitude

Question : 72 of 100

Marks: +1, -0

The centroid of an equilateral

△ A B C

O

. If

A B=27 {cm}

, then the length of

A O

Solution:

We know that in an equilateral triangle of side a unit, distance of the centroid (centre of mass) from any vertex is

\;{a √{3}}/{3}

∴

According to the question,

A O=\;{27 √{3}}/{3}=9 √{3} {cm} .

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