Answer:
Three sides measuring 5 in., 12 in., and 14 in.
Step-by-step explanation:
First of all, you need to know some facts about every triangle:
FIRST FACT:
If two sides of a triangle are
, then the third side must be less than
. Why? because if its length is exactly
, then you can't build up a triangle, but you'll have a line segment. In other words:

SECOND FACT:
The internal angles of any triangle add up to 180°. So if ∠A, ∠B and ∠C are the internal angles of a triangle, then:

__________________________
So let's analyze each case:
Case 1. Three angles measuring 25 degrees, 65 degrees, and 90 degrees :

The sum is greater than 180 degrees, so these angles can't form a triangle
Case 2. Three angles measuring 50 degrees, 50 degrees, and 50 degrees

The sum is less than 180 degrees, so these angles can't form a triangle
Case 3. Three sides measuring 5 in., 12 in., and 14 in.

The inequalities are true, so these sides form a triangle.
Case 4: Three sides measuring 4 ft, 8 ft, and 14 ft

Since the third inequality is not true, then we can't form a triangle with these sides.