Question 1048110: If a triangle has 2 sides of 3cm and 5cm, what is the minimum and maximum integer values for the 3rd side?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The three sides are: a,b,c
Given sides
a = 3
b = 5
Unknown side is side c
The third unknown side c is restricted by this inequality
b - a < c < b+a
5-3 < c < 5+3
2 < c < 8
So the restriction on c is 2 < c < 8
Meaning that c can be any number from 2 to 8 excluding those endpoints.
The smallest that c can be, assuming c is an integer, would be c = 3
The largest that c can be, assuming c is an integer, would be c = 7
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Answers:
min value of c = 3
max value of c = 7
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