Question

a triangle has side lengths measuring 20 cm, 5 cm, and n cm. which describes the possible values of n?
5 < n < 20
5 < n < 15
15 < n < 20
15 < n < 25

Explanation:

Step1: Apply triangle inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So \(n + 5>20\) (i.e., \(n>15\)) and \(n<20 + 5\) (i.e., \(n<25\)).

Answer:

\(15 < n < 25\)