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Triangle ABC has A(2,3), B(4,k) and C(6,3). Its area is 8 sq units.
Find the possible values of k.

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • Ak = 7 or k = -1
  • Bk = 8 or k = -2
  • Ck = 11 or k = -5
  • Dk = 5 or k = -3

Step-by-Step Solution

AC is horizontal: base = 6-2 = 4, height = |k-3|. Area = (4)|k-3| = 2|k-3| = 8, so |k-3| = 4, giving or .
Answer: A) k = 7 or k = -1

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