Question

Cole says the distance between points (-5,0) and (0,-5)is 5 units. Is he correct? Explain why or why not.

Answer 1

Incorrect

Explanation:

To calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 5)

d =
`√((0+5)^2+(-5-0)^2)`

=
`√(5^2+(-5)^2)`

=
`√(25+25)` =
`√(50)` =
`√(25(2))` = 5
`√(2)` ← exact value