Find the distance between the point ( a, 2) and the point (3a,-5) in terms of a.

Given the point (a,2) and the point
(3a,-5).

We need to find the distance in terms of
a.

We will use the distance between two points formula to
calculate.

==> We know that
:

D = sqrt[ (x1-x2)^2 + (y1-y2)^2
]

==> D = sqrt( a-3a)^2 +
(2+5)^2]

==> D = sqrt(4a^2 +
49)

Then the distance between the points in
terms of a is :

D
= sqrt(4a^2+49)