Question

Use the following four coordinates to determine which one has a distance of 5 units from point A (2, 6). (5 points) (5, 2) (2, 5) (6, 7) (7, 5)

Answer 1

A right triangle with legs measuring 3 units and 4 units has a hypotenuse measuring 5 units.

You need to find a point which has a difference in x and y of 3 and 4 or 4 and 3 from the point A(2, 6).

Look at (5, 2) and compare with A(2, 6).

Difference in x: 5 - 2 = 3

Difference in y: 6 - 2 = 4

Since the differences in x and y are 3 and 4, the hypotenuse will measure 5.

Answer: (5, 2)