Apply Pythagorean theorem to find the length between (2,7) and (-2,0). Round your answer to the nearest hundredths, if necessary.

1 answer

The distance formula can be derived from the Pythagorean theorem. So, to find the distance between two points (x1, y1) and (x2, y2), we can use the formula:

distance = √((x2-x1)^2 + (y2-y1)^2)

In this case, the first point is (2,7) and the second point is (-2,0).

distance = √((-2-2)^2 + (0-7)^2)
= √((-4)^2 + (-7)^2)
= √(16 + 49)
= √65

Rounded to the nearest hundredth, the distance is approximately 8.06.