Question

If A= (10,4) and B= (2,19) what is the length of AB ?

Answer 1

we are given

$A= (10,4) \ and \ B= (2,19)$

we have been asked to find the distance AB.

The distance between the two points can be found using the formula

$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\ \\ \text{where two points on the Cartesian plane are } (x_1, x_2) \ and \ (y_1,y_2)$

$D=\sqrt{(10-2)^2+(4-19)^2}\\ \\ D=\sqrt{(8)^2+(-15)^2}\\ \\ D=\sqrt{64+225}\\ \\ D=\sqrt{289}\\ \\ D=17$

Length of AB=17

Answer 2

The answer is 17 units