The sum of the lengths of any tow sides of a triangle must be greater than the third side.

Question

The sum of the lengrhs of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 inches and a second side that is 3 inches less than twice the third side, what are the possible lengths for the second and third sides?

Answer 1

sum of 2 sides > 3rd side

s=21, t=2u-3

s=1st side

t=2nd side

u = 3rd side

in any triangle, any two sides summed > the third side

s=21 inches= the 1st side

8<u<24 inches for the 3rd side

13<t<45 for the 2nd side