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The points (- 4,0), (4, 0) and (0,3) are the vertices of a/an
  • a)
    right triangle
  • b)
    isosceles triangle
  • c)
    equilateral triangle
  • d)
    scalene triangle
Correct answer is option 'B'. Can you explain this answer?
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The points (- 4,0), (4, 0) and (0,3) are the vertices of a/ana)right t...
Isosceles triangle.
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The points (- 4,0), (4, 0) and (0,3) are the vertices of a/ana)right t...


Let X (- 4, 0), Y (4, 0) and Z(0, 3) are the given vertices.

Now, distance between X( - 4, 0) and Y(4, 0),

⇒ XY = √[4 - (- 4)]� + (0 - 0)�

⇒ XY = √(4 - 4)�

⇒ XY = √(8)�

⇒ XY = 8

Distance between Y(4, 0) and Z(0, 3),

⇒ YZ = √(0 - 4)� + (3 - 0)�

⇒ YZ = √16 + 9

⇒ YZ = √25

⇒ YZ = 5

Distance between Z(4, 0) and X(0, 3)

⇒ ZX = √[0 - (- 4)]� + (3 - 0)�

⇒ ZX = √16 + 9

⇒ ZX = √25

⇒ ZX = 5

As, YZ = ZX

Two sides of the triangle are equal.

So that, the triangle XYZ is an isosceles triangle.
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The points (- 4,0), (4, 0) and (0,3) are the vertices of a/ana)right t...
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The points (- 4,0), (4, 0) and (0,3) are the vertices of a/ana)right triangleb)isosceles trianglec)equilateral triangled)scalene triangleCorrect answer is option 'B'. Can you explain this answer?
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