Question

9) • Which of the following measures of sides cannot be possible to form a triangle?​

Answer 1

Given :  Side of a triangle

(a) 4,5,6

(b) 3,4,5

(c) 2,3,4

(d) 1,2,3​

To Find :  Which of the measures of sides cannot be possible to form a triangle?​

Solution :

Property of a triangle

Sum of any two sides > third Side

4 , 5 , 6

4 + 5 > 6 ,

4 + 6 > 5 ,

5 + 6 > 4

3 , 4 , 5

3 + 4 > 5 ,

3 + 5 > 4  ,

4 + 5 > 3

2 , 3 , 4

2 + 3 > 4   ,

2 + 4 > 3  ,

3 + 4>2

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

(1 , 2 , 3) can not be the  measures of sides to form a triangle

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