The largest possible integer distance between points A and C is 6.34 units.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Non-collinear points are a group of points that do not all lie on the same line. We cannot connect these sites with a single straight line.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.
Given that points A, B, and C do not lie on the same line. If the distance from A to B is 4 units, and the distance from B to C is 5 units.
The maximum third side will be calculated by using the Pythagorean theorem for the triangular shape ABC.
AC² = AB² + BC²
AC² = 4² + 5²
AC² = 16 + 25
AC² = 41
AC = √41
AC = 6.34
Hence, the largest possible integer distance between points A and C is 6.34 units.
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