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raketka [301]
3 years ago
12

Find the perimeter of △CDE. Round your answer to the nearest hundredth. The perimeter is about units.

Mathematics
1 answer:
Troyanec [42]3 years ago
8 0

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

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