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an art college include the red paper triangle with one side length of 3.4 in and a second side length of 8.1 inches which of the following could be the length of the third side

User Vivianne
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lol i dont know but good luck
User Dinesh Ygv
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General Idea:

Triangle inequality property states that the sum of any two sides of a triangle is greater than the third side.


a+b>c\\ \\ b+c>a\\ \\ a+c>b

Applying the concept:

We are given two sides of the triangle as 3.4 inches and 8.1 inches respectively.


a=3.4\\ \\ b=8.1

Using the above triangle property of inequality, we get..


3.4+8.1>c\\ \\ 11.5>c\\ \\ c<11.5\\ ---------\\ 3.4+c>8.1\\ \\ c>8.1-3.4\\ \\ c>4.7

Conclusion:

The third side should satisfy the below inequality to satisfy, triangle property of inequality


4.7<c<11.5

User Till Helge
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