Answer:
16 m < P < 19 m
Step-by-step explanation:
we know that
The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x----> the length of the third side
Applying the triangle inequality theorem
1) 3+8 > c
11 > c
c < 11 m
2) c+3 > 8
c> 5 m
so
the measure of the third side must be
5 m < c < 8 m
therefore
The perimeter of the triangle is equal to
P=3+8+c
P=11+c
The inequality is equal to
(11+5) m < P < (11+8) m
16 m < P < 19 m
