Question 49

# 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

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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##### Suriya Narayanan

2 days, 12 hours ago

Why the answer is not 12 as the triangles can be equally divided using the centroid.
Now each triangle has 36cm2. And the triangle are in the ratio of 2:1, which makes the required area EOD as 12cm2

##### susheela rath

4 months, 4 weeks ago

Ytherwd2

##### Deep Sheth

9 months ago

What a solution. Excellent teaching style Maruti sir. Hats off

##### susheela rath

4 months, 4 weeks ago

Heheh3g

##### susheela rath

4 months, 4 weeks ago

Kutudu harami

OR