Which of the following statements is true about the point A(1, 2), B(3, 4) and C(0, -1)?
Which of the following statements is true about the point A(1, 2), B(3, 4) and C(0, -1)?
Explanation
Now, let's calculate the distances:
AB = √((3 - 1)² + (4 - 2)²) = √(2² + 2²) = √(8) = 2√2
AC = √((0 - 1)² + (-1 - 2)²) = √((-1)² + (-3)²) = √(1 + 9) = √10
BC = √((3 - 0)² + (4 - (-1))²) = √(3² + 5²) = √(9 + 25) = √34
Since AB ≠ AC ≠ BC, the points form a scalene triangle.