if a triangle has lengths of 27 m and 11 m check all the possible lengths for the third side
Remember that
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side
Let
c -----> the length of the third sides
Applying the triangle inequality theorem
27+11 > c
38 > c -------> c < 38 m
and
11+x > 27
x >27-11
x > 16 m
therefore
the interval of the third side is (16,38) m
the answer is
17 m
35 m
22 m
Problem N 2
if a triangle has lengths of 3ft and 54ft check all the possible lengths for the third side
51
53
55
57
58 in ft
Applying the triangle inequality theorem
31+54 > c
85> c ------> c< 85 ft
and
31+c > 54
c > 23 ft
interval (23,85) ft
answer is
51
53
55
57
58