The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 cm and a second side that is 2 cm less than twice the third side, what are the possible lengths for the second and third sides?

Answer 1

let sides be a,b,c
let then b =2c-2

but b+c>22
2c-2+c>22
3c>24
c>8

if c=10 (greater than 8), then b is
b=2c-2=18

Answer 2

the sides are 22,x,2x-2, so we have

2x-2-x < 22 < 2x-2+x
x < 24 < 3x

So, it looks like 8 < x < 24

Answer 3

The length

Answer 4

5cmand25cm.6.2cmand18cm