Remember that
The formula to calculate the distance between two points is equal to
[tex]d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}[/tex]step 1
Find the length of leg AB
A(4,5), B(1,1)
substitute the given coordinates in the formula
[tex]AB=\sqrt[]{(1-5)^2+(1-4)^2}[/tex][tex]\begin{gathered} AB=\sqrt[]{(-4)^2+(-3)^2} \\ AB=\sqrt[]{25} \\ AB=5 \end{gathered}[/tex]step 2
Find out the length of leg BC
B(1,1) and C (-2,5)
substitute the given coordinates in the formula
[tex]BC=\sqrt[]{(5-1)^2+(-2-1)^2}[/tex][tex]\begin{gathered} BC=\sqrt[]{(4)^2+(-3)^2} \\ BC=5 \end{gathered}[/tex]step 3
Find out the length of leg AC
A(4,5), and C (-2,5)
substitute the given coordinates in the formula
[tex]AC=\sqrt[]{(5-5)^2+(-2-4)^2}[/tex][tex]\begin{gathered} AC=\sqrt[]{(0)^2+(-6)^2} \\ AC=6 \end{gathered}[/tex]