Answer:
A
Step-by-step explanation:
Calculate the lengths of JK and JL using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)
JK = [tex]\sqrt{(-4-2)^2+(2-1)^2}[/tex]
= [tex]\sqrt{(-6)^2+1^2}[/tex]
= [tex]\sqrt{36+1}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 units
Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)
JL = [tex]\sqrt{(7-2)^2+(4-1)^2}[/tex]
= [tex]\sqrt{5^2+3^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex] ≈ 5.8 units
Thus JK is longer than JL → A
