Chapter 9, Problem 22CUR

To determine

To Fill: Fill in the blanks given in question.

Answer to Problem 22CUR

The final answer is never.

Explanation of Solution

Given information: We have the given statement is the sides of a triangle are … 14cm 17cm and 31cm long.

From triangle inequality theorem we know that a triangle is possible only when the sum of two sides must be greater than the third side.

Let $a=17,b=14andc=31$

Here we see that

  $\begin{array}{c}a+b=17+14\\ =31\\ =c\end{array}$

But we need $a+b>c$

Therefore, for the given sides of triangle, such triangle is never possible.