Answer:
No, you can't
Step-by-step explanation:
Given
[tex]Side\ 1 =4[/tex]
[tex]Side\ 2 =9[/tex]
Required
Is a perimeter of 26 possible?
First, calculate the possible side 3
[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]
[tex]Side\ 3 = 26 - 4 - 9[/tex]
[tex]Side\ 3 = 13[/tex]
Triangle inequalities states that:
Sum of two sides > the third side
So:
[tex]4 + 9 > 13[/tex] --- False
[tex]13 + 9 > 4[/tex] --- True
[tex]4 + 13>9[/tex] ---- True
Since one of the inequalities is false, then a perimeter of 16 is not possible
