What is the distance from (–7, 2) to (5, –3)?
Choose the correct answer.
A) 10 B) 11 C) 12 D) 13 E) 14
solutions   Suppose we made a right triangle, as in the example above. The difference in the x-coordinates is (–7) – 5 = –12, so the horizontal leg would have a length of 12 (length has to be positive). The difference in the y-coordinates is 2 – (–3) = 5, so this is the length of the vertical leg. We recognize that we have a common Pythagorean triplet, so we don’t even need to perform a calculation: we know the length of the hypotenuse, and hence, the distance between the two points, is 13. Answer = 13
<result>D</result>
What is the distance from (–7, 2) to (5, –3)?