Question

Find the length of the side CD in the pentagon ABCDE.

A)

4√2 units

B)

12 units

C)

4 units

D)

4√10 units

Answer 1

Answer: A) 4√2 units

Explanation:

Use the distance formula to find the distance(d) between Point D and Point C:

`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

• Point D = (x₁, y₁) = (4, -2)
• Point C = (x₂, y₂) = (8, 2)

`d=\sqrt{(8-4)^(2)+(2-(-2))^(2)}=\sqrt{(4)^(2)+(4)^(2)}=√(16+16) =√(32) =4√(2)`