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If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respecti

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Question: If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respectively, what is the area of triangle ABC?

Options:

  1. 12
  2. 10
  3. 14
  4. 8

Correct Answer: 10

Solution: 

Area = 1/2 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)| = 1/2 * |1(6-2) + 4(2-2) + 7(2-6)| = 1/2 * |4 + 0 - 28| = 12.

If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respecti

Practice Questions

Q1
If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respectively, what is the area of triangle ABC?
  1. 12
  2. 10
  3. 14
  4. 8

Questions & Step-by-Step Solutions

If the coordinates of points A, B, and C are (1, 2), (4, 6), and (7, 2) respectively, what is the area of triangle ABC?
  • Area of a Triangle Using Determinants – The formula for calculating the area of a triangle given its vertex coordinates using the determinant method.
  • Coordinate Geometry – Understanding how to work with points in a Cartesian plane and apply geometric formulas.
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