can a triangle be formed with three sides length?
the longest side cannot be longer than the sum of the two shorter sides
Yes, a triangle can be formed with three sides length.
Marcus -- not all lengths of sides will form a triangle.
Yes, a triangle can be formed with three sides of different lengths. The condition for the formation of a triangle is that the sum of the lengths of any two sides must be greater than the length of the remaining side. This is known as the Triangle Inequality Theorem.
To determine if a triangle can be formed with three side lengths, you need to follow these steps:
1. Identify the three side lengths given to you.
2. Arrange the side lengths in ascending order (from the shortest to the longest).
3. Check if the sum of the two shorter sides is greater than the longest side.
If the above condition is satisfied, then a triangle can be formed with the given side lengths. Otherwise, if the sum of the two shorter sides is equal to or less than the longest side, then a triangle cannot be formed.
For example, let's say you have side lengths of 3, 4, and 8. Arrange them in ascending order: 3, 4, 8.
Now, check if the sum of the two shorter sides (3 + 4 = 7) is greater than the longest side (8). Since 7 is indeed greater than 8, a triangle can be formed with these side lengths.