Explanation: First, we will need to get the length of each line using the distance formula which is as follows: distance = [tex] \sqrt{( x_{2}- x_{1} )^2 + ( y_{2} - y_{1})^2 } [/tex]
1- length of AB: AB = [tex] \sqrt{(-1--1)^2+(1-6)^2} [/tex] = 5 units
2- length of AC length of AC is the same as AB = 5 units
3- length of BC: BC = [tex] \sqrt{(2--1)^2+(2-1)^2} [/tex] = √10 units
Now, we can get the perimeter by adding the side lengths as follows: perimeter = 5 + 5 + √10 perimeter = 10 + √10 units
