How do I identify the triangle PQR

Question

as isosceles, equilateral,right triangle or scalene?

Here it is:

P(-.5,-1) , Q(1.5,1), R( the square root of 3 minus 3 , the square root of 3 /2)

Thanks a lot!!

Answer 1

To  identify the type of triangle PQR we must find out its respective Lengths PQ , QR , and PR .

case (i) if all sides of lengths are equal then it is a equilateral traingle

case (ii) if any of  2 sides of lengths are equal then it is a isosceles

case (iii) if all sides of different lengths then it is a scalene traingle

now  we have to calculate PQ ,QR ,PR

here in this case PQ , QR , PR  are different hence it is a scalene traingle