Question

60 which set of numbers could represent the lengths of the sides of a triangle? a 6,8,9 b 1,2,3 c 2,2,5 d 2,6,9

Explanation:

Step1: Recall triangle inequality rule

For side lengths $a,b,c$, sum of any two sides > third side.

Step2: Test Option A (6,8,9)

$6+8>9$ → $14>9$; $6+9>8$ → $15>8$; $8+9>6$ → $17>6$. All true.

Step3: Test Option B (1,2,3)

$1+2=3$, which is not > 3. Fails.

Step4: Test Option C (2,2,5)

$2+2=4<5$. Fails.

Step5: Test Option D (2,6,9)

$2+6=8<9$. Fails.

Answer:

A. 6,8,9