Question

The points P (4,3) , Q (-5,-1) and T (2,-2) are vertices of a

(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle
(d) No triangle ​

Answer 1

Answer:

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Answer 2

Answer:

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Finding the distance between the points,

(PQ)² = (-5-4)² + (-1-3)²

         = (-9)² + (-4)²

         = 81 + 16

         = 97

PQ =$\sqrt{97}$

Now,

(QT)² = (2+5)² + (-2+1)²

         = (7)² + (-1)²

         = 49 + 1

         = 50

QT =$\sqrt{50}$

And,

(PT)² = (2-4)² + (-2-3)²

         = (-2)² + (-5)²

         = 4 + 25

         = 29

PT =$\sqrt{29}$

So,

We can conclude that all side are different

PQ ≠ QT ≠ PT

Hence,

It is a Scalene triangle

Option c) Scalene triangle is correct