Question

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

Explanation:

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

For \(20 + 5>n\), we get \(n<25\).
For \(20 + n>5\) (always true for positive \(n\)).
For \(5 + n>20\), we get \(n>15\).

Answer:

\(15 < n < 25\)