Question

question which of the following sets of numbers could represent the three sides of a triangle? answer {14,24,38} {6,11,17} {15,18,32} {8,11,19}

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 {14,24,38}

14 + 24 = 38, which does not satisfy the theorem since 38 is not greater than 38.

Step3: Check {6,11,17}

6+11 = 17, which does not satisfy the theorem as 17 is not greater than 17.

Step4: Check {15,18,32}

15 + 18 = 33>32, 15+32 = 47>18, 18 + 32 = 50>15, so it satisfies the theorem.

Step5: Check {8,11,19}

8 + 11 = 19, which does not satisfy the theorem as 19 is not greater than 19.

Answer:

{15,18,32}