SATHEE: Quantitative Aptitude Ques 2241

Quantitative Aptitude Ques 2241

Question: Two medians AD and BE of $ \Delta ABC $ intersect at G at right angles. If $ AD=9cm $ and $ BE=9cm $ then the length of BD, in cm, is

Options:

A) 10

B) 6

C) 5

D) 3

Show Answer

Answer:

Correct Answer: C

Solution:

$ AD=9cm $ $ \because $ A centroid divides the median in the ratio 2: 1.

$ \therefore $ $ GD=\frac{1}{3}\times 9=3cm $ [ $ \because $ point of intersection of median] and $ BG=\frac{2}{3}\times BE $
$ \Rightarrow $ $ BG=\frac{2}{3}\times 6=4cm $ Now, in $ \Delta BDG $ by Pythagoras theorem, $ BD^{2}=BG^{2}+GD^{2} $

$ \therefore $ $ BD=\sqrt{3^{2}+4^{2}}=\sqrt{9+16} $

$ \Rightarrow $ $ BD=\sqrt{25}=5cm $

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Quantitative Aptitude Ques 2241

Question: Two medians AD and BE of $ \Delta ABC $ intersect at G at right angles. If $ AD=9cm $ and $ BE=9cm $ then the length of BD, in cm, is

Options:

Answer:

Solution:

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