Question

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

Explanation:

Step1: Apply triangle inequality theorem (sum of two sides > third side)

For sides \(20\), \(5\), \(n\):
\(20 + 5>n\) (i.e., \(n<25\)) and \(20 + n>5\) (always true as \(n>0\)) and \(5 + n>20\) (i.e., \(n>15\))

Answer:

\(15 < n < 25\) (the fourth option)