Answer:
Length of ab
= 17
Step-by-step explanation:
[tex]a =(10,4)\\b=(2,19) \\\\length\:ab = ?\\Distance\: between\:point\:a\:and\:point\:b =?\\\\d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\x _1 =10\\y_1 =4\\x_2=2\\y_2 = 19\\\\d = \sqrt{\left(2-10\right)^2+\left(19-4\right)^2}\\\\d = \sqrt{(-8)^2+(15)^2}\\ \\d = \sqrt{64+225} \\\\d = \sqrt{289} \\\\d = 17[/tex]
