Which set of sides will make a triangle?
Answers
Given : Set of Sides (a) 4,5,6 , (b) 3,4,5 , (c) 2,3,4 , (d) 1,2,3
To find : Which set of sides will make a triangle
Solution:
Property of triangle
Sum of any two sides > third Side
4 , 5 , 6
4 + 5 > 6 , 4 + 6 > 5 , 5 + 6 > 4
=> 4 , 5 , 6 will make a triangle
3 , 4 , 5
3 + 4 > 5 , 3 + 5 > 4 , 4 + 5 > 3
=> 3 , 4 , 5 will make a triangle
2 , 3 , 4
2 + 3 > 4 , 2 + 4 > 3 , 3 + 4>2
=> 2 , 3 , 4 will make a triangle
1 , 2 , 3
1 + 2 = 3
Sum of 1 & 2 is not greater than 3
Hence these can not be the sides of a Triangle
(4 , 5 , 6 ) , ( 3 , 4 , 5) , ( 2 , 3 , 4) will make a triangle
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