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Question

Which of the following triplets (in cm) can act as sides of a triangle?
  1. 20, 21, 19
  2. 11, 10, 22
  3. 35, 96 , 61
  4. 25, 2 , 22


Solution

The correct option is A 20, 21, 19
The sum of lengths of any two sides of triangle must be greater than the third side.
Let us check one of the options,
20+21=41>19(Third side)
20+19=39>21(Third side)
19+21=40>20 (Third side)

In all other options it fails, let us check for 25, 2, 22
25+2=27>22(Third side)
2+22=24<25(Third side)  [failed 24 is not greater than 25]
22+25=47>2 (Third side)
Similarly, check for other combinations.

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