Question

Find the distance between the points given.
(2,5) and (6, 8)

A. sqrt(37)
B. 5
C. sqrt(22)

Answer 1

Use the distance formula

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2$

Input corresponding numbers

$d = \sqrt {\left( {2- 6} \right)^2 + \left( {5-8} \right)^2$

Solve

$d = \sqrt {\left( {-4} \right)^2 + \left( {-3} \right)^2$

$\sqrt{16 + 9}$

$\sqrt{25} = 5\\\\ d=5$

So, the distance between the points given is 5