Question

Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN

Answer 1

Answer:

The length of MN is $\sqrt{5}$ units.

Step-by-step explanation:

The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).

We use the distance formula to find the length of MN.

$|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We plug in the values to get

$|MN|=\sqrt{(-4--2)^2+(-4--5)^2}$

$|MN|=\sqrt{(-2)^2+(1)^2}$

$|MN|=\sqrt{4+1}$

$|MN|=\sqrt{5}$

The length of MN is $\sqrt{5}$ units.