Question

which are the possible side lengths of a triangle? 4 cm, 8 cm, 10 cm 8 cm, 10 cm, 18 cm 6 cm, 9 cm, 17 cm 3 cm, 5 cm, 9 cm

Explanation:

Step1: Check triangle inequality for \(4\ cm, 8\ cm, 10\ cm\)

Check \(4 + 8>10\) (\(12>10\)), \(4 + 10>8\) (\(14>8\)), \(8 + 10>4\) (\(18>4\))

Step2: Check triangle inequality for \(8\ cm, 10\ cm, 18\ cm\)

Check \(8+10 = 18\), not \(>18\)

Step3: Check triangle inequality for \(6\ cm, 9\ cm, 17\ cm\)

Check \(6 + 9=15<17\)

Step4: Check triangle inequality for \(3\ cm, 5\ cm, 9\ cm\)

Check \(3+5 = 8<9\)

Answer:

\(4\ cm, 8\ cm, 10\ cm\)