In order to calculate the perimeter of the triangle, we have to calculate the distance between the three sets of points
The distance between (-4,1) and (1,1) is calculated as follows
distance =[tex] \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]
distance =[tex] \sqrt{(1-(-4))^2 + (1-1)^2} [/tex]
dsitance =[tex] \sqrt{5^2 + 0} [/tex]
distance between (-4,1) and (1,1) = 5 units
The distance between (1,1) and (1,-11) is calculated as follows
distance =[tex] \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]
distance =[tex] \sqrt{(1-1)^2 + (-11-1)^2} [/tex]
distance =[tex] \sqrt{ 0 + 12^2} [/tex]
distance between (1,1) and (1,-11) = 12 units
The distance between (1,-11) and (-4,1) is calculated as follows
distance =[tex] \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]
distance = [tex] \sqrt{(-4-1)^2 + (1-(-11)^2} [/tex]
distance =[tex] \sqrt{(-5)^2 + 12^2} =\sqrt{25 + 144} = \sqrt{169} [/tex]
distance between (1,-11) and (-4,1) = 13 units
Perimeter of the trainable = 5 + 12 + 13 = 30 units
