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

Step-by-step 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)

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