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

The sum of any two sides > third side.

Step2: Calculate lower bound

$20 - 5 < n$ → $15 < n$

Step3: Calculate upper bound

$20 + 5 > n$ → $n < 25$

Step4: Combine bounds

$15 < n < 25$

Answer:

D. 15 < n < 25