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A triangle has vertices A(1,1), B(5,1), C(3,5). M is the midpoint of BC.
Find the area of triangle ABM (the median AM divides ABC into two equal halves).

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • A8
  • B4
  • C5
  • D3

Step-by-Step Solution

Area of ABC: base AB = 4, height = 5-1 = 4, area = . A median divides a triangle into two equal areas, so ABM = sq units.
Answer: B) 4

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