Answer:
Explanation:
To find the third side of a triangle when two sides are given, you can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, if 17 and 38 are the lengths of two sides of the triangle, let's call the third side "x". Using the triangle inequality theorem, we can set up the following inequality:
17 + 38 > x
Simplifying the equation, we have:
55 > x
So, the third side "x" must be less than 55 for it to be a valid triangle.
However, without more information or restrictions, we cannot determine the exact length of the third side. It could be any value greater than 0 and less than 55.
In conclusion, the third side of the triangle must be less than 55, but the exact length cannot be determined with the given information.
Hope this helps!