Question

The sides of a triangle are x cm,x+3 cm and 10 cm.if x is a whole number of cm,find the lowest value of x. (Hint:The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer 1

I need some one to solve it

Answer 2

Perimeter of triangle= x+(x+3)+10
Thus,x+(x+3)+10>x
2x+13>x

Answer 3

Not quite,
you did not read their hint and use their hint

the property you are looking at is this, and as they state:
the sum of any two sides of a triangle must be greater than the third side, so
x + x+3 > 10 and x + 10 > x+3 and x+3 + 10 > x
2x > 7 and 10> 3 (always true) and 13 > 0 (always true)
x > 7/2

so x > 7/2

Test it:
let x = 1 , the sides are 1,4, 10 . That cannot form a triangle
let x = 5, the sides are 5,8 and 10. That works
let x = 3.5001, the sides are 3.5001, 6.5001, and 10. Yup! Very skinny triangle.