The third side of a triangle must be greater than the absolute difference of the two given sides and less than the sum of the two given sides. In this case, the third side must be greater than |7-9| = 2 and less than 7+9 = 16. Therefore, the possible lengths for the third side of the triangle could be any value greater than 2 and less than 16.
7cm
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
10
It could be 12 because the sum of the 2 smaller sides of a triangle must be bigger than its largest side.
No. The sum of the lengths of two sides of a triangle must always at least slightly exceed the length of the third side, and the given numbers do not conform to this rule.
If any of its 2 sides is not greater than its third in length then a triangle can't be formed.
7cm
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
Any triplet provided only that any two lengths are greater than the third.
10
The statement that the sum of the lengths of any two sides of a triangle is greater than the length of the third side is known as the Triangle Inequality Theorem. This theorem is fundamental in geometry and ensures that a set of three lengths can form a triangle. If this condition is violated, the three lengths cannot connect to form a triangle. Essentially, it guarantees the triangle's stability and shape.
The last side length could be between 4 units and 10 units inclusive.
13 in
The length of a triangle's third side is determined by the lengths of its other two sides according to the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the remaining side. Therefore, if you know the lengths of two sides, you can establish a range for the length of the third side.
No. The sum of any two lengths must be greater than the third length.
To determine the possible lengths of the third side of a triangle with sides of lengths 7 and 12, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. This gives us two inequalities: the third side must be less than 19 (7 + 12) and greater than 5 (12 - 7). Thus, the possible length of the third side must be greater than 5 and less than 19, meaning it could be any value in the range (5, 19).
To determine if a triangle can be formed with side lengths of 33 and 9, we need a third side length. The triangle inequality theorem states that the sum of the lengths of any two sides must be greater than the length of the third side. Without a specified third side length, we cannot definitively say whether a triangle can be formed, but if the third side is less than 24 (33 - 9) and greater than 24 (33 + 9), then a triangle can be constructed.