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A triangle has vertices A(2, 3), B(−1, 0) and C(2, −4). Find its area in square units.

Competition practiceAreas & Volumes
  • A21
  • B5.25
  • C10.5
  • D14

Step-by-Step Solution

A and C share the -coordinate 2, so AC is vertical with length units, and the perpendicular distance from B to the line is || = 3 units. Area = ½ × square units.
Answer: C) 10.5

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