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Kobotan [32]
3 years ago
10

Determine whether each set of numbers can represent the sides of a triangle:

Mathematics
1 answer:
lesya [120]3 years ago
4 0
<h3>{ 13, 9, 6} represent the sides of a triangle</h3>

<em><u>Solution:</u></em>

<em><u>Use the triangle inequality law</u></em>

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

<em><u>Option A</u></em>

{13, 9, 6}

13 + 9 > 6\\\\22 > 6

Also,

9+6>13\\\\15>13

Thus, sum of length of any two sides is greater than third side

Therefore, { 13, 9, 6} represent the sides of a triangle

<em><u>Option B</u></em>

{12, 7, 20}

12+7>20\\

19 is not greater than 20

Therefore, {12, 7, 20} does not represent the sides of a triangle

<em><u>Option C</u></em>

{25, 50, 75}

25+50>75\\

75 is equal to 75

Therefore, {25, 50, 75} does not represent the sides of a triangle

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