Distance Between Two Points

Distance Between Two Points

Points in a Line

Distance Between Two Points

Example

Calculate the distance between the points: A(2, 1) and B(−3, 2).

Distance Between Two Points Example

Problems

1.Prove that the points: A (1, 7), B (4,6) and C (1, −3) belong to a circumference of a circle of center (1, 2).

If O is the center of the circle, the distances from O to A, B, C and D should be equal.

Distance Between Two Points Example

Distance Between Two Points Example

Distance Between Two Points Example


2. Identify the type of triangle determined by the points: A (4, −3), B (3, 0) and C (0, 1).

Distance Calculations

Distance Calculations

Distance Calculations

Triangle Calculations

If:

Triangle Calculations

Triangle Calculations

Triangle Calculations

Triangle Calculations

Triangle


3.Calculate the value of a if the distance between the points A = (0, a) and B = (1, 2) is equal to 1.

Distance Calculations

Distance Solution