Respuesta :
Hello!
To find the length of KL, we will need to use the distance formula.
The distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex].
We are given K(4, 5) and L(4, -2), and we can find the distance between these two points through substitution.
[tex]\sqrt{(4-4)^{2} +(-2-5)^{2}}[/tex]
[tex]\sqrt{(0)^{2} +(-7)^{2}}[/tex]
[tex]\sqrt{(7)^{2}} = \sqrt{49} = 7[/tex]
Therefore, the length of KL is 7 units, choice B.
The length of the KL is 7 units, the correct option is B.
What is the distance formula?
The distance between two points of the xy-plane can be found using the distance formula.
Distance Formula is used to calculate the distance between two points.
Given
A triangle has vertices on a coordinate grid at points J( -1,5) K(4,5) and L(4, -2) .
The distance formula is;
[tex]\rm Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of the KL is;
[tex]\rm KL = \sqrt{(4-4)^2+(-2-5)^2} \\\\KL = \sqrt{0^2+(-7)^2}\\\\KL=\sqrt{0+49} \\\\KL=\sqrt{49}\\\\KL=7[/tex]
Hence, the length of the KL is 7 units.
To know more about distance formula click the link given below.
https://brainly.com/question/25969944
