Question

Triangle Inequalities help please

Answer 1

No, you can't

Explanation:

Given

`Side\ 1 =4`

`Side\ 2 =9`

Required

Is a perimeter of 26 possible?

First, calculate the possible side 3

`Side\ 3 = Perimeter - Side\ 1 - Side\ 2`

`Side\ 3 = 26 - 4 - 9`

`Side\ 3 = 13`

Triangle inequalities states that:

Sum of two sides > the third side

So:

`4 + 9 > 13` --- False

`13 + 9 > 4` --- True

`4 + 13>9` ---- True

Since one of the inequalities is false, then a perimeter of 16 is not possible