Final answer:
To prove that the triangle formed by points A (4,2), B (0,5), and C (7,-2) is an isosceles triangle, we can calculate the distances between the points using the distance formula and check if any two sides are equal in length.
Step-by-step explanation:
To prove that the triangle formed by points A (4,2), B (0,5), and C (7,-2) is an isosceles triangle, we need to check if any two sides of the triangle are equal in length.
We can calculate the distances between the points using the distance formula:
AB = √((x2-x1)^2 + (y2-y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points. By calculating the distances AB, BC, and AC, we can determine if any two sides are equal in length, which would indicate an isosceles triangle.