True or false There is no triangle with sides a34 b42 and c

True or false? There is no triangle with sides a=3.4, b=4.2, and c =8.1.

Solution

solution:

in a triangle sum of two sides is always greater than third side

now we have

a=3.4, b=4.2, and c =8.1.

a+b= 3.4+4.2= 7.6

which is less than c=8.1

hence

false