Question

Find the distance between the points (2a, Зa) and (6a, 6а).

Answer 1

Given: Points P(2a, 3a) and Q(6a, 6a).

Use the distance formula

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

x₂ – x₁ = 6a – 2a

= 4a

y₂ – y₁ = 6a – 3a

= 3a

`d = sqrt[(4a)^2 + (3a)^2)`

= `sqrt(16a^2 + 9a^2)`

= `sqrt(25a^2)`

= 5|a|

Distance = 5|a| so if a ≥ 0 this is 5a.