SSC CHSL 15 Oct 2020 Shift 3 Paper

Question : 69 of 100

Marks: +1, -0

\Δ\XYZ

, if G is the centroid and XL is the medians with length 18

{\cm}

, then the length of XG is

Solution:

Given,

\Δ\XYZ

, if

G

is the centroid and XL is the median.
∴

\XL=18 {\cm}

We know that, centroid divides the median XL in the ratio of

2: 1

.
∴

\XG: \GL=2: 1

∴ Length of

\XG={2 ×\XL}/{2+1}

={2}/{3} ×18=12{\cm}

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