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A(1, 2), B(4, 6) are two vertices of a triangle and the midpoint of the third side BC is M(6, 5). Find vertex C.

Class 10Midpoint ApplicationsGeometry — Coordinates
  • A(8, 4)
  • B(10, 8)
  • C(8, 8)
  • D(2, 1)

Step-by-Step Solution

M is midpoint of B(4,6) and C, so C = (2*6 - 4, 2*5 - 6) = (12-4, 10-6) = (8, 4).
Answer: A) (8, 4)

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