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Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?


A.

It is equal to 4 inches.


B.

It measures less than 4 inches.


C.

It measures more than 4 inches.


D.

It is 2.5 inches.

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Aaronwu

Answer:

C

Step-by-step explanation:

The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.

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The third side of the triangle measures more than 4 inches.

What are the properties of triangle for it's side?

  • The sum of the length of the two sides of a triangle is greater than the length of the third side.
  • The difference between the two sides of a triangle is less than the length of the third side.

According to the given question we have,

Length of the two sides of a triangle are 8 inches and 12 inches.

Let the length of the third side be x inches.

Now, according to the properties of a triangle

"The difference between the two sides of a triangle is less than the length of the third side".

Therefore,

12 - 8 < x

⇒ 4 < x

⇒ The third side of the triangle is greater than 4 inches.

Hence, the third side of the triangle measures more than 4 inches.

Learn more about the properties of a triangle here:

https://brainly.com/question/10652623

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