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Which set of points forms a right triangle with the right angle at the origin?

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A(0, 0), (5, 0), (0, −2)
  • B(0, 0), (2, 1), (4, 2)
  • C(0, 0), (4, 1), (1, 4)
  • D(0, 0), (3, 3), (5, 0)

Step-by-Step Solution

(5, 0) is on the -axis and (0, −2) is on the -axis; the axes meet at right angles at O. In the third set the points are in a straight line is always half of ), so there is no triangle at all.
Answer: A) (0, 0), (5, 0), (0, −2)

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