Question

Find the length of AB.

A(-5, 4), B(7, -5)

Answer 1

Answer: L=15.

Explanation:

Line length formula

`\boxed {L=√((x_2-x_1)^2+(y_2-y_1)^2) }`

x₁=-5 x₂=7 y₁=4 y₂=-5.

Hence,

`L=√((7-(-5))^2+(-5-4)^2)\\L= √((7+5)^2+(-9)^2)\\ L=√(12^2+9^2)\\ L=√(144+81) \\L=√(225) \\L=√(15^2) \\L=15.`