Question

teacher:stirewalt class:1st period math 2 spring 2025 lee4tvsp
student gentry, holden
can a triangle have sides 2 in, 9 in, 10 in? type yes or no.

Explanation:

Step1: Recall 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.

Step2: Check first combination

Check \(2 + 9\) and \(10\). \(2+9 = 11\), and \(11>10\).

Step3: Check second combination

Check \(2 + 10\) and \(9\). \(2 + 10=12\), and \(12>9\).

Step4: Check third combination

Check \(9 + 10\) and \(2\). \(9+10 = 19\), and \(19>2\).

Answer:

yes