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

y=mx+b

step-by-step explanation:

m slope, b y-intercept