The formula to find the distance between two points (a,b) and (c,d) is:
[tex]\sqrt[]{(a-c)^2+(b-d)^2}[/tex]
Substitute (a,b)=(6,-3) and (c,d)=(0,5):
[tex]\begin{gathered} \sqrt[]{(6-0)^2+(-3-5)^2} \\ =\sqrt[]{(6)^2+(-8)^2} \\ =\sqrt[]{36+64} \\ =\sqrt[]{100} \\ =10 \end{gathered}[/tex]
Therefore, the distance between (6,-3) and (0,5) is 10.
Plot the points on the coordinate plane to draw the triangle:
