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Question

The sides of a quadrilateral are all positive integers and three of them are 5,10 ,20.  How many possible values are there fir the fourth side


Solution

Property of quadrilateralis all sides of quadrilaterial is less than sum of all other sides
sides are of length
5, 10, 20
so maximum length can be, 5+10+20-1= 34 ( as it's less than not equal to sum of all other sides)
and minimum can be, let it be x
20=10+5 +x
=>x=5
x=6 ( as it's less than not equal to sum of all other sides)
so, from 6 to 34 interger can be
34-5=29 is the answer
 

Mathematics

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