Two sides of a triangle are: 5, 14. By triangle inequality the sum of each pair of sides must be > the third side. x + 5 > 14 Subtract 5 from both sides. x > 9
x + 14 > 5 Subtract 14 from both sides. x > -9
5 + 14 > x 19 > x
x has to be greater than 9 but less than 19. Letter A
I guess you mean 5m and 14m are the lengths of 2 sides of the triangle.
If the length of any side is equal or greater than the sum of the other 2 sides then you can;t make a triangle.
So for example 19 cannot the answer because 19 = 5 + 14 . No triangle can be formed with sides that measure. and 38 is greater than 14 + 5 so its cant be C.
