Answer:
[tex]\sqrt{29}[/tex]
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 = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
Where x₁ = 2 , x₂ = 7 , y₁ = 5 and y₂ = 3
Insert the parameters and solve;
D = [tex]\sqrt{(7-2)^{2} + (3 - 5)^{2} }[/tex]
D = [tex]\sqrt{25 + 4}[/tex]
D = [tex]\sqrt{29}[/tex]
