CAT 2022 Question Paper (Slot 3) - Quant Question 5

Question 5

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


Correct Answer: 9

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


View Video Solution

video

Comments
Suriya Narayanan

2 months, 1 week 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

7 months, 1 week ago

Ytherwd2

Deep Sheth

11 months, 1 week ago

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

susheela rath

7 months, 1 week ago

Heheh3g

susheela rath

7 months, 1 week ago

Kutudu harami

cracku

Boost your Prep!

Download App