Question

A triangle has side lengths of 24 centimeters and 35. The third side has a length of x centimeters. Complete the inequality to show all the possible values of x.
*2 answers*

Answer 1

Answer: $11$

Step-by-step explanation:

Given

The side of the triangle are $24\ \text{and }35$

Suppose the third side is $x$

Also, the sum of the two sides of the triangle is always greater than the third

$\therefore x$

Similarly,

$\Rightarrow x+35>24\\\Rightarrow x>-11$

Also,

$\Rightarrow x+24>35\\\Rightarrow x>11\quad \ldots(ii)$

From (i) and (ii) we get

$\Rightarrow 11$