If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.
2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore 5 < a ≤ 8
3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.
The range of possible links for the third side s is 5 < s < 11
A triangle is a polygon with three sides , three vertices and three angles.
It is known that if a, b and c are the lengths of the sides of a triangle and
then
a + b > c
b+c > a
c+a > b
Then the length of the third side lies between
8-3 < s < 8+3
5 < s < 11
Therefore the range of possible links for the third side s is 5 < s < 11
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