In a triangle ABC, AB,BC, and CA are x, 3x + 2 and x + 4 units respectively where x `in` N. find the length of its sides.

Explanation

Given AB = x
BC = 3x + 2
and CA = x+4
Now AB + AC `gt` BC(Triangle inequality)
`rArr x + x + 4 gt 3x + 2`
`rArr 2x + 4 gt 3x + 2`
`rArr -x gt -2`
`rArr x lt 2`
As x `in` N we have x = 1
`therefore` The sides of triangle ABC are AB = 1 unit
BC = 5 units
and CA = 5 units