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which set of side measurements could be those of a triangle? 3cm, 4cm, …

Question

which set of side measurements could be those of a triangle? 3cm, 4cm, 7cm 5cm, 7cm, 11cm 2cm, 3cm, 5cm 4cm, 5cm, 10cm

Explanation:

Step1: Recall triangle inequality rule

For sides $a,b,c$, $a+b>c$, $a+c>b$, $b+c>a$

Step2: Test Option A

$3+4=7$, not $>7$ → invalid

Step3: Test Option B

$5+7>11$, $5+11>7$, $7+11>5$ → valid

Step4: Test Option C

$2+3=5$, not $>5$ → invalid

Step5: Test Option D

$4+5=9<10$ → invalid

Answer:

B. 5 cm, 7 cm, 11 cm