The longest side of a triangle is 5 inches longer than the shortest side. the medium side is 2 inches longer than the shortest side. if the perimeter of the triangle is 22 inches, what are the lengths of the three sides?

If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:

x+y+z= 22

y is shorter than x by 5 inches so y= x-5

z is longer than y by 2 inches therefore z= x-5 +2

therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=


replace x in y and z in previous formations

Here are the answers to the ones that i could see.