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Which of the following correctly indicates whether a triangle can have sides with lengths 3.8, 7.4, and 11, and also provides the correct explanation?

A) No; 3.8 + 7.4 is not greater than 11.
B) Yes; 3.8 + 7.4 is not greater than 11.
C) No; 3.8 + 7.4 is greater than 11.
D) Yes; 3.8 + 7.4 is greater than 11.

Sagot :

Using the sum of the sides of the triangle, it is found that the correct option is:

D) Yes; 3.8 + 7.4 is greater than 11.

What is the condition of the sum of the sides of the triangle?

  • In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

In this problem:

  • The lengths of the smaller sides are 3.8 and 7.4.
  • Of the greater side, is 11.

Hence:

[tex]3.8 + 7.4 = 11.2 > 11[/tex], which means that these lengths can represent a triangle and option D is correct.

You can learn more about the sum of the sides of the triangle at https://brainly.com/question/25645873

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