Geometry math question no guessing and show work you

In a triangle ,

sum of two sides>third side

let us check for each option one by one

Option A:

{4,7,9}

4+7>9, 11>9 (true)

4+9>7, 13>7 (true)

9+7>4, 16>4 (true)

so it represents sides of triangle

Option B:

{9,10,11}

9+10>11, 19>11 (true)

10+11>9, 21>9 (true)

9+11 >10, 20>10 (true)

so it represents sides of triangle

Option C:

{4,8,12}

4+8>12, 12 >12 ( false)

so this does not represent sides of triangle

Answer is option C {4,8,12}

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step-by-step explanation: