# Points D(-4, 6), E(5, 3), and F(3, -2) are the vertices of triangle DEF. How do you find the perimeter of the triangle?

Jun 4, 2018

$p = \sqrt{113} + \sqrt{29} + \sqrt{90}$

#### Explanation:

After the Formula
$\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$
We get
$D E = \sqrt{{7}^{2} + {8}^{2}} = \sqrt{113}$
$F E = \sqrt{{2}^{2} + {5}^{2}} = \sqrt{29}$
$D E = \sqrt{{9}^{2} + {3}^{3}} = \sqrt{90}$