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A triangle has side lengths of 3 inches, 7 inches, and c inches. Enter values to write an inequality that describes the possible values for c, the length of the third side of the triangle.

__< C < __

what are the answers to the blanks?

Respuesta :

calculista

Answer:

[tex]4\ in < c < 10\ in[/tex]

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

case A)

[tex]c+3 > 7[/tex]

[tex]c > 7-3[/tex]

[tex]c > 4\ in[/tex]

case B)

[tex]3+7 > c[/tex]

[tex]10> c[/tex]

Rewrite

[tex]c <10\ in[/tex]

therefore

[tex]4\ in < c < 10\ in[/tex]

SeanChua101

Answer:

4 < c < 10

Step-by-step explanation:

I did the question and got it right

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