Question

What is the distance between (5,–3) and (9,1)?

Answer 1

Solution.

A = (5,-3)

B = (9,1)

The Distance Of AB is

$\sqrt{ {(9 - 5)}^{2} + {(1 + 3)}^{2} } = \\ \\ = \sqrt{ {4}^{2} + {4}^{2} } \\ \\ = \sqrt{16 + 16} = \sqrt{32} \\ \\ = 4 \sqrt{2} \: units$