Question

Find Thedustance between (2,4a)and(2a+root3a,5a)

Answer 1

Answer:

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}