# What is the perimeter of a triangle with corners at (3 ,7 ), (2 ,3 ), and (4 ,9 )?

Oct 16, 2017

Perimeter = 12.6837

#### Explanation:

Length $c = \sqrt{{\left(3 - 2\right)}^{2} + {\left(7 - 3\right)}^{2}} = \sqrt{17}$

Length $a = \sqrt{{\left(4 - 2\right)}^{2} + {\left(9 - 3\right)}^{2}} = \sqrt{40}$

Length $b = \sqrt{{\left(4 - 3\right)}^{2} + {\left(9 - 7\right)}^{2}} = \sqrt{5}$

Perimeter P $= \sqrt{17} + \sqrt{40} + \sqrt{5}$
$= 12.6837$