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Question
Which of the following triplets (in cm) can act as sides of a triangle?
Which of the following triplets (in cm) can act as sides of a triangle?
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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.
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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