We have been given the following potential side lengths.
1 cm 15 cm 15 cm
We will check whether these sides can form a triangle. In order to do that, we will use the Triangle Inequality Theorem. This theorem tells us that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Applying this theorem to the given side lengths, we have three inequalities.
I:& 1+15? > 15 ⇒ 16 > 15
II:&15+ 15? > 1 ⇒ 30 > 1
III:& 15+ 1? >15 ⇒ 16 > 15
Since all three inequalities are true, a triangle can have these side lengths.
