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Dima020 [189]
3 years ago
5

A triangle has two side lengths 7 and 9. What value could the length of the third side be? Check all that apply

Mathematics
2 answers:
Licemer1 [7]3 years ago
7 0

Answer:

8,5,10,13

Step-by-step explanation:

Let

x----->  the length of the third side

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any two sides of a triangle must be greater than the measure of the third side

so

case A)

7+9 >x\\16> x\\x

case B)

7+x >9\\x>9-7\\ x>2\ units

The solution for the length of the third side is the interval------> (2,16)

All real numbers greater than 2 and less than 16

therefore

the solutions are

8,5,10,13

mamaluj [8]3 years ago
3 0
<span>Each side has to be less then the sum of the other two sides.
A, B, C, and E work.

</span>
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