CAT 2022 Slot 3 Paper

Question : 49 of 66

Marks: +1, -0

Suppose the medians $\BD$ and $\CE$ of a triangle $\ABC$ intersect at a point $\O$ . If area of triangle $\ABC$ is 108 sq. cm., then, the area ofthe triangle $\EOD$ , in sq. cm, is

Your Answer:

Validate

Solution:

\Area \of \ABD : \Area \of {\BDC}=1: 1

Therefore, area of

\ABD =54

Area of ADE : Area of

\EDB=1: 1

Therefore, area of

{\ADE}=27

{\O}

is the centroid and it divides the medians in the ratio of

2: 1

\Area \of \BEO: \Area \of \EOD = 2:1

\Area \of \EOD=9

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