Question

What is the range of possible sizes for side x

Answer 1

`\boxed{\sf 1.6 < x < 9.6}`

Explanation:

According to the triangle inequality theorem, any triangle side is always shorter than the sum of the other two sides.

Therefore the third side must be less than 4.0 + 5.6 = 9.6.

The third side must likewise be bigger than the difference between the previous two sides, according to the same theory.

Therefore the third side must be larger than 5.6 - 4.0 = 1.6.

So, 1.6 < x < 9.6