Question

find the distance between the points A(8a,7a) and B(8a+√3a,6a).

Answer 1

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Answer 2

Answer:

2a

Step-by-step explanation:

A=$(x_1,y_1)=(8a,7a)$

B=$(x_2,y_2)=(8a+\sqrt{3}a , 6a)$

To find the distance we will use distance formula

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

$d=\sqrt{(8a+\sqrt{3}a-8a)^2+(6a-7a)^2}$

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

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

$d=\sqrt{4a^2}$

$d=2a$

Hence the distance between the given points is 2a