Question

directions: select all the best responses. which could represent the sides lengths of a triangle? 13, 22, 14 23, 28, 52 34, 9, 25 19, 11, 17

Explanation:

Step1: Check triangle inequality for 13,22,14

Check \(13 + 14>22\) (\(27>22\)), \(13+22 > 14\) (\(35>14\)), \(14 + 22>13\) (\(36>13\))

Step2: Check triangle inequality for 23,28,52

Check \(23+28>52\), \(23 + 28=51<52\)

Step3: Check triangle inequality for 34,9,25

Check \(9+25>34\), \(9 + 25=34
ot>34\)

Step4: Check triangle inequality for 19,11,17

Check \(11+17>19\) (\(28>19\)), \(11 + 19>17\) (\(30>17\)), \(17+19>11\) (\(36>11\))

Answer:

13,22,14 and 19,11,17