Question

A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32cm. find the possible values of x​

Answer 1

{4, 5, 6, 7, 8}

Explanation:

Explanation is...

Answer 2

9514 1404 393

Answer:

{4, 5, 6, 7, 8}

Explanation:

The inequality related to the perimeter is ...

x +(x +4) +11 < 32

2x < 17 . . . . . . . . . . . . subtract 15

x < 8.5

The inequality related to the triangle inequality is ...

(x) +(x +4) > 11

2x > 7

x > 3.5

Then possible whole-number values of x are ...

{4, 5, 6, 7, 8}