Answer:
[tex]\sqrt{73}[/tex] units.
Therefore, Option C is correct.
Step-by-step explanation:
We have given a pentagon ABCDE
We need to calculate its length
That means we have to find the distance of AD
So, coordinates of A(1,6) and D(4,-2)
Using distance formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,[tex]x_1=1,y_1=6,x_2=4,y_2=-2[/tex]
On substituting the values we will get:
[tex]\sqrt{(4-1)^2+(-2-6)^2}[/tex]
On simplification:
[tex]\sqrt{3^2+(-8)^2}[/tex]
[tex]\sqrt{9+64}[/tex]
[tex]\sqrt{73}[/tex].
Hence, the length of AD is [tex]\sqrt{73}[/tex] units.
Therefore, Option C is correct.
