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

1) isosceles triangle

2) equilateral triangle

3) right-angled triangle

4) None of these

Solution: Option (3) Right angled triangle

Given that, P(2, 7) Q (4, – 1) and R (- 2, 6)

The distance between PQ = √68

The distance between PR = √17

The distance between QR = √85

Therefore, PQ2 +PR2 = QR2

(√68)2 + (√17)2 = (√85)2

68+17 = 85

85 = 85

Hence, the triangle joining the points P(2, 7) Q (4, – 1) and R (- 2, 6) is a right angled triangle.

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