Quantitative Aptitude Ques 566

Question: The points (2, 2), (6, 3) and (4, 11) are the vertices of

Options:

A) an equilateral

B) a right angled triangle

C) an isosceles triangle

D) a scalene triangle

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ AC=\sqrt{{{(11-2)}^{2}}+{{(4-2)}^{2}}} $ $ =\sqrt{81+4}=\sqrt{85} $ $ BC=\sqrt{{{(11-3)}^{2}}+{{(4-6)}^{2}}} $ $ =\sqrt{8^{2}+2^{2}}=\sqrt{64+4}=\sqrt{68} $ $ AB=\sqrt{{{(3-2)}^{2}}+{{(6-2)}^{2}}} $ $ =\sqrt{1+16}=\sqrt{17} $

$ \therefore $ $ AC\ne BC\ne AB $ Hence, the points are the vertices of a scalene triangle.