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A triangle with vertices (4, 0), (– 1, – 1), (3, 5) is
  • a)
    isosceles and right angled
  • b)
    isosceles but not right angled
  • c)
    right angled but not isosceles
  • d)
    neither right angled nor isosceles
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A triangle with vertices (4, 0), (– 1, – 1), (3, 5) isa)is...
A(4, 0), B(-1, -1), C(3, 5) are the vertices of a triangle. Then 

AB^2 = (-1-4)^2 + (-1-0)^2 = 26

BC^2 = (3+1)^2 + (5+1)^2 = 52

CA^2 = (4-3)^2 + (0-5)^2 = 26

This implies, CA^2 + AB^2 = BC^2

Thus, the triangle is isosceles and right angle triangle.
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A triangle with vertices (4, 0), (– 1, – 1), (3, 5) isa)isosceles and right angledb)isosceles but not right angledc)right angled but not isoscelesd)neither right angled nor isoscelesCorrect answer is option 'A'. Can you explain this answer?
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