Question

Find the length of the segment containing the points (2,5) and (7,3)

Answer 1

`√(29)`

Step-by-step explanation:

Given coordinates;

= (2,5) and (7,3)

Unknown:

Length of the segment = ?

Solution:

To find the length between the segment which are the endpoints, we simply use the distance formula;

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

Where x₁ = 2 , x₂ = 7 , y₁ = 5 and y₂ = 3

Insert the parameters and solve;

D =
`\sqrt{(7-2)^(2) + (3 - 5)^(2) }`

D =
`√(25 + 4)`

D =
`√(29)`