Question

If A= (0,0) and B = (2,5) what is the appropriate length of AB

Answer 1

`√(29)`

Explanation:

Use the distance formula.
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

Plug in the coordinates into the equation.
`\sqrt{(2-0)^(2)+(5-0)^(2)}`

Solve the distance formula.
`\sqrt{(2)^(2)+(5)^(2)}` -->
`√(4+25)` -->
`√(29)`

Answer 2

Use the formula for the distance between two points: d = √((x2 – x1)2 + (y2 – y12))

Explanation:

d = √((5 – 0)2 + (2 – 0)2

d = √(25 + 4) = √(29) ≈ 5.385