Question

question which of the following sets of numbers could not represent the three sides of a triangle? answer {6,10,15} {14,18,30} {10,25,33} {11,20,33}

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check set {6, 10, 15}

$6 + 10=16>15$, $6 + 15 = 21>10$, $10+15 = 25>6$. So it can form a triangle.

Step3: Check set {14, 18, 30}

$14 + 18=32>30$, $14 + 30 = 44>18$, $18+30 = 48>14$. So it can form a triangle.

Step4: Check set {10, 25, 33}

$10 + 25=35>33$, $10 + 33 = 43>25$, $25+33 = 58>10$. So it can form a triangle.

Step5: Check set {11, 20, 33}

$11+20 = 31<33$. So it cannot form a triangle.

Answer:

{11, 20, 33}