Question

Find the distance between the points X and Y shown in the figure.

Answer 1

XY ≈ 14.87 units

Explanation:

Calculate the distance using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = X(- 6, 3) and (x₂, y₂ ) = Y(8, - 2)

d =
`√((8+6)^2+(-2-3)^2)`

=
`√(14^2+(-5)^2)`

=
`√(196+25)`

=
`√(221)`

≈ 14.87 ( to 2 dec. places )