Question

What is the length of segment AB? Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at intervals of 1. A straight line labeled AB is drawn. A is the ordered pair 0, 6 and B is the ordered pair 6, 0.

Answer 1

we can use the pythagorean theorm. This means that the points can form the two legs of a triangle. 

a = 6
b = 6
c = length AB

a^2+b^2 = c^2

2(6^2) = c^2
72 = c^2

c would be $\sqrt{72}$ or $6\sqrt{2}$