Which of the following statements is true about the point A(-4, -2), B(1, 4) and C(6, 11)?

Which of the following statements is true about the point A(-4, -2), B(1, 4) and C(6, 11)?

Explanation

The points form a scalene triangle:

Calculate the distances AB, BC, and AC. If all sides are unequal, it's a scalene triangle.

AB = √((1 - (-4))² + (4 - (-2))²) = √(5² + 6²) = √61

BC = √((6 - 1)² + (11 - 4)²) = √(5² + 7²) = √74

AC = √((6 - (-4))² + (11 - (-2))²) = √(10² + 13²) = √269

All sides are unequal (√61 ≠ √74 ≠ √269), so the points form a scalene triangle.