Question

In the diagram below, x is a whole number. what is the smallest possible value for x?

6
7
8
9

Answer 1

9

Explanation:

Answer 2

The smallest possible value for x is
`9\ units`

Explanation:

we know that

The Triangle Inequality Theorem. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

`x+x>17\\2x>17\\x>8.5\ units`

The value of x must be greater than
`8.5\ units`

so

If x must be a whole number

therefore

The smallest possible value for x is
`9\ units`