Question

an art college include the red paper triangle with one side length of 3.4 in and a second side length of 8.1 inches which of the following could be the length of the third side

Answer 1

lol i dont know but good luck

Answer 2

General Idea:

Triangle inequality property states that the sum of any two sides of a triangle is greater than the third side.

$a+b>c\\ \\ b+c>a\\ \\ a+c>b$

Applying the concept:

We are given two sides of the triangle as 3.4 inches and 8.1 inches respectively.

$a=3.4\\ \\ b=8.1$

Using the above triangle property of inequality, we get..

$3.4+8.1>c\\ \\ 11.5>c\\ \\ c<11.5\\ ---------\\ 3.4+c>8.1\\ \\ c>8.1-3.4\\ \\ c>4.7$

Conclusion:

The third side should satisfy the below inequality to satisfy, triangle property of inequality

$4.7<c<11.5$