Distance with Pythagorean Theorem

1. Two points on a coordinate plane are (1, 2) and (4, 6). a) Draw a right triangle where the line connecting the two points is the hypotenuse. b) What are the lengths of the legs of the right triangle? c) Use the Pythagorean Theorem to find the distance between the two points.

2. A map shows two locations: a park and a school. The park is located at coordinates (-3, 1) and the school is at (2, -4). What is the straight-line distance between the park and the school? Show your work using the Pythagorean Theorem.