Question

The vertices of a triangle are (2, 0), (-2, -1), and (3, -4). The triangle is

• A. right scalene
• B. isosceles right
• C. equilateral
• D. scalene but not right
• E. none of these

Answer 1

The correct option is B isosceles right

• the vertices of triangle is $(2,0),(-2,-1),(3,-4)$
• The lengths of sides joining them is $\sqrt{17}$ , $\sqrt{17}$ , $\sqrt{34}$
  
• observe that the lengths of two sides are equal and sum of squares of two sides is equal to square of third side
• Therefore the vertices will form an isosceles right angled triangle