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in Co-ordinate Geometry by (46.9k points)
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In the following examples, can the segment joining the given points form a triangle? If triangle is formed, state the type of the triangle considering sides of the triangle.

P (-2, -6), Q (-4, -2), R (-5, 0)

1 Answer

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by (47.6k points)
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Best answer

 By distance formula,

∴ d(P, Q) + d(Q, R) = d (P, R) …[From (iii)] ∴ Points P, Q, R are collinear points. We cannot construct a triangle through 3 collinear points.

∴ The segments joining the points P, Q and R will not form a triangle.

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