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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 of the triangle EOD, in sq. cm, is

Updated On: Jan 15, 2026
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Correct Answer: 9

Solution and Explanation

Given triangle ABC with medians BD and CE intersecting at O

The following area relationships are provided:

\(Area \ of \ △ABD : Area \ of \ △BDC = 1 : 1\)

Consequently, the area of \(△ABD = 54\)

\(Area \ of \ △EDB : Area \ of \ △ADE = 1 : 1\)

Therefore, the area of \(△ADE = 27\)

This indicates O is the centroid, dividing medians in a \(2:1\) ratio.

\(Area \ of \ △BEO : Area \ of \ △EOD = 2 : 1\)

Given this ratio, the area of \(△EOD = 9\)

Final Answer:

The area of \(△EOD\) is \(9\) square cm.

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
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