Question

Find the length of the missing side of the triangle. The lengths of the triangles are 5m and 14m. The answer choices are:

Answer 1

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

Answer 2

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.


The answer is A