Question

Use the distance formula to decide whether ab=bc A(4,2) B(-1,-1) C(-6,-4)

Answer 1

$AB= \sqrt{(-1-4)^2+(-1-2) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34} \\ \\ BC= \sqrt{(-6+1)^2+(-4+1) ^{2} }= \sqrt{(-5)^2+(-3)^2}= \sqrt{34} \\ \\ \sqrt{34}= \sqrt{34} \ \ \to \ \ AB=BC$