Question

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?

Answer 1

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

$4\ in < c < 10\ in$

Answer 2

Answer:

4 < c < 10

Step-by-step explanation:

I did the question and got it right