The formula for calculating length of a side of triangle is:
[tex]d= \sqrt{( x_{2}- x_{1}) ^{2}+(y_{2}-y_{1})^{2} } [/tex]
And as perimeter is just the sum of length of all side, we will calculate the length of each side and then sum them up.
1. Side AB:
[tex]d_{1}= \sqrt{( 3- (-2)) ^{2}+(0-3)^{2} }[/tex]
d₁= √34
2.Side AC
[tex]d_{2}= \sqrt{( (-4)- (-2)) ^{2}+((-3)-3)^{2} }[/tex]
d₂=2√10
3.Side BC
[tex]d_{3}= \sqrt{( (-4)- 3) ^{2}+((-3)-0)^{2} [/tex]
d₃=√58
Perimeter
[tex]P= \sqrt{34}+ 2\sqrt{10} + \sqrt{58} [/tex]
P=19.77
