Question

Find the perimeter of △CDE. Round your answer to the nearest hundredth. The perimeter is about units.
C(4,-1)
D(4,-5)
E(2,-3)

Answer 1

Answer: $9.66\ units$

Step-by-step explanation:

The triangle CDE is shown in the image attached.

The formula for calculate the distance between two points is:

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

Then, we can calculate the lenght of each side of the triangle:

$d_{CD}=\sqrt{(4-4)^2+(-5-(-1))^2}=4\ units\\\\d_{DE}=\sqrt{(4-2)^2+(-5-(-3))^2}=2.828\ units\\\\d_{CE}=\sqrt{(2-4)^2+(-3-(-1))^2}=2.828\ units$

Therefore, the perimeter is:

$P=4\ units+ 2.828\ units+2.828\ units=9.66\ units$