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If triangle ABC has vertices A(1, 2), B(4, 6), and C(7, 2), what is the area of

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Question: If triangle ABC has vertices A(1, 2), B(4, 6), and C(7, 2), what is the area of triangle ABC?

Options:

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

Correct Answer: 10

Solution: 

Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)| = 0.5 * |1(6 - 2) + 4(2 - 2) + 7(2 - 6)| = 0.5 * |4 + 0 - 28| = 12.

If triangle ABC has vertices A(1, 2), B(4, 6), and C(7, 2), what is the area of

Practice Questions

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

Questions & Step-by-Step Solutions

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