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

25% is the answer

  or  

sin y = 7/q

7 is the opposite side length, q is the hypotenuse

tan y = 7/r

7 is the opposite side length, r is the adjacent side length

using sohcahtoa ^^^^

cos y = adjacent/hypotenuse

cos y = r/q