Question

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

Answer 1

Answer:

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

Step-by-step 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 $9\ units$