Question

Can you draw a triangle using these lengths for the sides? why?

Answer 1

Step-by-step explanation:

Using the lengths of the given sides, we want to check if we can get a triangle from the three side lengths

To ascertain this, we use the length principle as regards triangles

The principle is that the sum of the lengths of two sides must be greater than the third side

Let us say the triangle has sides a,b and c

Then:

`\begin{gathered} a\text{ + b > c} \\ b\text{ + c > a} \\ a\text{ + > b} \end{gathered}`

since:

`1\text{ + 6 < 8}`

We cannot draw a triangle out of the given side lengths

Thus, our answer is NO

The reason for that is because the sum of the lengths of two of the sides is less than the third side