Mathematics 103

Question

Find the distance between A(10,4) and B(7,0)

Select one:

5

-6

6

-5

Answer 1

Correct option is (a) 5

Distance between the points (x₁​,y₁​) and (x₂​,y₂​) is given as \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Given: A(10, 4) and B(7, 0)

AB = \(\sqrt{(7-10)^2 + (0 - 4)^2}\)

\(= \sqrt{(-3)^2 + (-4)^2}\)

\(= \sqrt{9 + 16}\)

\(= \sqrt{25}\)

\(= 5\)