Question

A triangle has sides Xcm, (x+4)cm and 11cm, where x is a whole number in cm. If the perimeter of the triangle is less than 32cm, find the possible value of x.

Answer 1

x + x+4 + 11 < 32
2x < 17
x < 8.5

2nd condition: to have a triangle the sum of any of the sides must be greater than the third side

x + x+4 > 11
2x > 7
x > 3.5

x + 11 > x+4, ok
x+4 + 11 > x, ok

so for whole numbers:
3 < x < 9

x can only be 4, 5, 6, 7 or 8

Answer 2

x can be only 4,5,6,7, or 8

Answer 3

Emmanuel clark