ABC is a triangle and the coordinates of A, B and C are (a, b - 2c), (a, b + 4c) and (-2a, 3c) respectively where a, b and c are positive numbers. The area of the triangle ABC is:
Explanation:
The length of AC = (b + 4c) - (b - 2c) = 6c
Altitude from C to AB = a - (-2a) = 3a
∴ Area of ABC = 1/2 × b × h = 1/2 × 3a × 6c = 9ac
Hence, option (d).
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