Step 1: Problem
Use the distance formula to find the length of leg AB
Step 2: Concept
[tex]\text{Distance of AB = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step 3: Method
Write the coordinates of points A and B.
A = ( -1 , 3 )
B = ( 2, 1 )
x1 = -1
y1 = 3
x2 = 2
y2 = 1
[tex]\begin{gathered} \text{Distance AB = }\sqrt[]{(2-(-1))^2+(1-3)^2} \\ =\text{ }\sqrt[]{(2+1)^2+(-2)^2} \\ =\text{ }\sqrt[]{3^2+(-2)^2} \\ =\text{ }\sqrt[]{9\text{ + 4}} \\ =\text{ }\sqrt[]{13} \\ =\text{ 3.6} \end{gathered}[/tex]Step 4: Final answer
Length of leg AB = 3.6