Geometry questions can prove to be a tough call for many! If you are sailing in the same boat and cannot find the best way to make your way through, you can leave all the stress and rely on CAT previous year paper. They give you an actual glimpse of the kind of questions you can expect in the upcoming CAT exam and boost your confidence and morale as you solve these questions. They'll help you go blazing on the questions the CAT Question Paper throws at you. Start right away with this Geometry question taken from CAT 2019 Question paper and ace your CAT preparation online.
Question 4 : In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12 cm and 9 cm, respectively. Then, the area of triangle ABC, in sq cm, is
We know that intersection of two medians is called a Centroid
We know, a Centroid divides the median in the ratio 2:1
AD = 12cms,
AG = 8cms, GD = 4cms
And similarly, BG = 6cms, GE = 3cms
Now, area (ABE) can be easily found out
area (ABE) = x BE X AG
area (ABE) = x 9 x 8 = 36 cm2
area (ABE) = area (BEC)
area (ABC) = 2 x 36 = 72 cm2
The question is "In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12 cm and 9 cm, respectively. Then, the area of triangle ABC, in sq cm, is"
Choice C is the correct answer.
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