Question

Find the distance between point A(-2,5) and point B(4,- 4) on the graph.

Answer 1

Option (C).

Explanation:

From the figure attached,

Ordered pairs of A, B and C are (-2, 5), B(4, -4) and (-2, -4).

Therefore, Length of AC = 5 + 4 = 9 units

Length of side BC = 4 + 2 = 6 units

By using Pythagoras theorem in the given triangle ABC,

Length of side AB =
`√((AC)^2+(BC)^2)`

=
`√(9^2+6^2)`

=
`√(81+36)`

=
`√(117)`

= 10.817

≈ 10.82 units

Therefore, Option (C) is the answer.