The area of the triangle with vertices (1,4), (2,7) and (4,13) is : Option 1: 0 Option 2: 1 Option 3: 2 Option 4: 3

Answer: 0. Solution: Area = 1/2, 1(7-13) + 2(13-4) + 4(4-7), = 1/2, -6 + 18 - 12, = 0. The points are collinear.

Applied Mathematics

Algebra

Easy

The area of the triangle with vertices $(1,4), (2,7)$ and $(4,13)$ is :

✅ Correct Option: 1

Area $= \frac{1}{2} \left| 1(7-13) + 2(13-4) + 4(4-7) \right| = \frac{1}{2} | -6 + 18 - 12 | = 0$ . The points are collinear.

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