Chapter 6, Problem 14CR

To determine

To complete: the blanks in the given statement.

Answer to Problem 14CR

  $2,14$

Explanation of Solution

Given information:

The given statement is “Two sides of the triangle have lengths $6$ and $8$ .The length of the

third side must be greater than $\underset{\_}{}$ and less than $\underset{\_}{}$ ”.

Concept used:

The third side of the triangle is less than the sum of the lengths of the other two sides

and greater than the difference of the lengths of the other two sides.

The sum of the two sides is $=6+8=14$ .

The difference of the two sides is $=8-6=2$ .

Hence,the third side must be greater than $\underset{\_}{\text{ 2 }}$ and less than $\underset{\_}{\text{ 14 }}$ ”.