Question

Calculate the distance between the points P=(-9, 1) and C=(−6, 8) in the coordinate plane.

Give an exact answer (not a decimal approximation).
10 y
Distance:
kP++++
-10 -8 -6 -4
18 201
-6
-8

Answer 1

Using Pythagoras
Distance between P and C = sr[(-6 - -9)^2 + (8 - 1)^2]
= sr(3^2 + 7^2)
= sr(9 + 49)
= sr(58) exactly