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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?

Verified Answer :

calculista

Answer:

\(4\ in < c < 10\ in\)

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)

\(c+3 > 7\)

\(c > 7-3\)

\(c > 4\ in\)

case B)

\(3+7 > c\)

\(10> c\)

Rewrite

\(c <10\ in\)

therefore

\(4\ in < c < 10\ in\)

SeanChua101

Answer:

4 < c < 10

Step-by-step explanation:

I did the question and got it right

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