Question

Find the distance between the points A (2a, 6a) and B(2a +√3a, 5a.

Answer 1

Answer:

Step-by-step explanation:

I hope it help you!!!

Answer 2

Answer:

2a unit

Step-by-step explanation:

Since, the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Thus, the  distance between the points A (2a, 6a) and B(2a +√3a, 5a),

$AB=\sqrt{(2a +\sqrt{3}a-2a)^2+(5a-6a)^2$

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

$=\sqrt{3a^2+a^2}$

$=\sqrt{4a^2}$

$=2a\text{ unit}$