Final answer:
The three points A(-2,-1), B(2,2), and C(6,-1) form an isosceles triangle.
Step-by-step explanation:
To classify the type of triangle formed by points A(-2,-1), B(2,2), and C(6,-1), we need to calculate the lengths of the three sides and compare them.
Using the distance formula, we find that AB = √((2-(-2))^2 + (2-(-1))^2) = √25 = 5; BC = √((6-2)^2 + (-1-2)^2) = √29; AC = √((-2-6)^2 + (-1-(-1))^2) = √64 = 8.
Since AB = AC ≠ BC, we can conclude that this triangle is an isosceles triangle.