Two sides of a triangle are 5 centimeters and 6 centimeters. What is the range of possible lengths for the third side? Explain your reasoning using complete sentences.

The range of possible values for the third side called c is;

11 > c or c < 11

Step-by-step explanation:

Here in this question, we are concerned with giving the range of the third side of the triangle.

What we will be using to get this range is the triangle inequality theorem.

Mathematically, the sum of the length of the two sides must be greater than the length of the third side.

So let’s call the third side c

Thus, the range of values we are to work with is;

5 + 6 > c

11 > c

57 732

step-by-step explanation:

i dont really.know

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!