Which of the following sets of numbers (side lengths) could NOT represent a right triangle?

Question

a	{6,14,18}
b	{11,26,36}
c	{12,14,25}
d	{22,26,65}

Answer 1

According to a triangle inequality the sum of any two sides should be greater than the third side.

you should check that for all three sides:

a+b > c

b +c> a

a+c > b

In option d, if you add 22+26= 48, which is not greater than 65. So these three lengths can’t form a triangle.