Question

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

• A. 20, 21, 19
• B. 11, 10, 22
• C. 35, 96 , 61
• D. 25, 2 , 22

Answer 1

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.