Question

question
two sides of a triangle are 12.5 and 17.8. find the range of possible side lengths for the third side.
type your answer as an inequality like we did in the notes with appropriate symbols, using x as your variable.
answer

Explanation:

Step1: Apply triangle - inequality theorem (lower - bound)

The difference between the two given sides gives the lower - bound of the third side. Let the two sides be $a = 17.8$ and $b = 12.5$. Then $x>a - b$. So $x>17.8−12.5$.
$x > 5.3$

Step2: Apply triangle - inequality theorem (upper - bound)

The sum of the two given sides gives the upper - bound of the third side. So $x$x<30.3$

Answer:

$5.3