Question

Find the distance between the following pair of point.

T(–3, 6), R(9, –10)

Answer 1

T(–3, 6), R(9, –10)

Let T (x₁, y₁) and R (x₂, y₂) be the given points.
∴ x₁ = −3, y₁ = 6, x₂ = 9, y₂ = −10

\[\mathrm{d(T,R)}=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\]

= \[\sqrt{\left[9-(-3)\right]^{2}+\left(-10-6\right)^{2}}\]

= \[\sqrt{\left(9+3\right)^{2}+\left(-10-6\right)^{2}}\]

= \[\sqrt{12^{2}+\left(-16\right)^{2}}\]

= \[\sqrt{144 + 256}\]

= \[\sqrt{400}\]

= 20

∴ d(T, R) = 20 units

∴ The distance between the points T and R 20 units.