Question

Find the distance between the two points in simplest radical form.
(6, 7) and (8,2)

Answer 1

Answer:

+sqrt(29)

Step-by-step explanation:

Note that the change in x (horizontal leg) is 8 - 6, or 2, and that the change in y (vertical leg) is |2 - 7|, or 5.  According to the Pythagorean Theorem, the length of the hypotenuse of the right triangle created here is:

distance = +sqrt(2^2 + 5^2), or +sqrt(29)