Question

If two sides of a triangle are 5 and 12 inches long, what's the range of possible lengths for the third side?

Answer 1

`7<c<12`

Explanation:

two sides of a triangle are 5 and 12 inches long

The sides of triangle a= 5 and b = 12

To form a triangle

`a+b>c, a+c>b \ and \ b+c>a`

`a+b>c`

`5+12>c`

`17>c`

`a+c>b`

`5+c>12`

`c>7`

Combine both inequalities

`c<12, c>7`

`7<c<12`