Answer:
The inequality is: 5<c<19
Length of third side "c" can have values greater than 5 but less than 19
Solution:
Given that,
Length of two sides of triangle are 7 inches and 12 inches respectively
Let the length of third side be "c"
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 we get a inequality as:
Case 1:
Sum of length of two sides of triangle > length of third side
Rewrite,
Case 2:
Let 12 inches be the length of third side
Sum of sides of length 7 and c > 12
Therefore from case 1 and case 2,
Which can be combined,
Therefore the possible values of "c" are:
"c" can have values greater than 5 but less than 19
