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

{13, 9, 6}
{12, 7, 20}
{25, 50, 75}

Solution:

Use the triangle inequality law

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

Option A

{13, 9, 6}

Also,

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

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

Option B

{12, 7, 20}

19 is not greater than 20

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

Option C

{25, 50, 75}

75 is equal to 75

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

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.