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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. The lengths of two sides of a triangle are 15 ft and 27 ft. Find the possible lengths of the third side?

The third side must have a length greater than
? ft and less than
? ft.

1 Answer
Mar 8, 2018


Possible length of third side is # 12< x <42 or x|(12,42) # ft.


#15+27=42 ; 27-15=12# . Therefore the third side must be

less than #42# ft ant greater than #12# ft. Therefore

possible length of third side of size #x# is

# 12< x <42 or x|(12,42) # ft [Ans]