# What is the distance between (6,7) and (1,3)?

Jan 9, 2016

Use pythagorean theorem to find the distance between these points.

#### Explanation:

The horizontal distance is 6 - 1 = 5, and the vertical distance is 7 - 3 = 4

As a result the distance would be the hypotenuse of a right triangle with dimensions of 4 and 5.

${a}^{2}$ + ${b}^{2}$ = ${c}^{2}$

${4}^{2}$ + ${5}^{2}$ = ${c}^{2}$

16 + 25 = ${c}^{2}$

√41 = c

The distance between (6,7) and (1,3) is √41 or 6.40 units.