Question

Use the following measures to determine whether or not the triangle is formed. Answer needed. Unique option.(2 points)a x 2m b x 9m c x 8mYes, the triangle formsThe triangle does not form

Answer 1

The triangle inequality theorem tells us that the sum of any 2 sides of a triangle must be greater than the third side.

The three side lengths of the triangle are:

2 m

9 m

8 m

Let's check the condition of the theorem:

• Is 2 + 9 > 8, ?

11 > 8

YES!

• Is 2 + 8 > 9, ?

10 > 9

YES!

• Is 9 + 8 > 2, ?

17 > 2

YES!

Now, we can clearly see that the sum of any 2 sides is greater than the third side. Thus, the triangle is formed.