Question

Determine whether (13,14,16) can be the measures of the sides of triangles.

Answer 1

In order to create a triangle, the greater value needs to be smaller than the sum of the other two values:

`aThe greater value among these three values is 16, so let's check:[tex]\begin{gathered} 16<13+14\\ \\ 16<27\text{ \lparen true\rparen} \end{gathered}`

Since the condition was satisfied (the inequality is true), the answer is YES, the measures can be sides of a triangle.