A triangle with vertices (4, 0), (-1, -1), (3, 5) is

A triangle with vertices (4, 0), (-1, -1), (3, 5) is

  1. right angled but not isosceles
  2. neither right angled nor isosceles
  3. isosceles and right angled
  4. isosceles but not right angled

Answer

A(4, 0), B(-1, -1), C(3, 5) are the vertices of a triangle. Then 

AB2 = (-1-4)2 + (-1-0)2 = 26

BC2 = (3+1)2 + (5+1)2 = 52

CA2 = (4-3)2 + (0-5)2 = 26

This implies, CA2 + AB2 = BC2

Thus, the triangle is isosceles and right angle triangle.

The correct option is C.