Coordinate Geometry Question 42

Question: The triangle joining the points P(2, 7), Q(4, -1), R(-2, 6) is

[MP PET 1997]

Options:

A) Equilateral triangle

B) Right-angled triangle

C) Isosceles triangle

D) Scalene triangle

Show Answer

Answer:

Correct Answer: B

Solution:

Since $ PQ=\sqrt{68},PR=\sqrt{17},QR=\sqrt{85} $
$ \therefore PQ^{2}+PR^{2}=QR^{2} $ , i.e. right angled triangle.