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Triangle Inequalities help please

Triangle Inequalities help please-example-1
User Matheus
by
3.5k points

1 Answer

2 votes

Answer:

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

User Shihongzhi
by
3.2k points