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The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This ensures that the sides can connect to form a closed shape, thereby satisfying the properties of a triangle. If the sum of two sides were equal to or less than the third side, it would either create a straight line or fail to connect, violating the definition of a triangle.
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What is the third side of the triangle rule?
The sum of two sides must be greater than the third.
If two sides of a triangle are 4 and 9 the third side could be?
The third side must be less than 13 but greater than 5.
What is the length of the third side of a triangle that has two sides of 10 inches and 4 inches?
To determine the length of the third side of a triangle with two sides measuring 10 inches and 4 inches, we can apply the triangle inequality theorem. The length of the third side must be greater than the difference of the two sides and less than the sum of the two sides. Therefore, the third side must be greater than 6 inches (10 - 4) and less than 14 inches (10 + 4). Thus, the length of the third side can range from greater than 6 inches to less than 14 inches.
What could be the third side of a triangle with side lengths of 4 cm and 6 cm?
The sum of the 2 shorter sides must be greater than the longest side to form a triangle
How do you get the other sides of a triangle when you only have one side?
You need the measures of two sides and for the triangle to be a right triangle to figure out the third side.
Can the sum of two sides of a triangle be equal to the third side?
no it can not be eaual but it can be greater than The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Sum of the two sides of a triangle is greater than its?
Its third side.
What does the triangle inequality state?
It says the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Not equal to but GREATER than the third side.
What is the third side of the triangle rule?
The sum of two sides must be greater than the third.
The sum of the lengths of any two sides of a triangle is always?
Greater than the third side
A triangle has two of lengths 7and 9 What value could the length of the third side be?
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.
How do you find the third side of a triangle given two sides?
To create a triangle, the sum of the two shorter sides must be greater than the third side. If the longest side is one of the two given sides, then the missing side must be greater than the difference between the two shorter sides. If the missing side is the longest side then the missing side must be less than the sum of the two shorter sides.
How do you describe the possible lengths of the third side of a triangle when the other tw sides are given?
The length of the third side must be greater than the difference between the length of the two given sides and it must be less than the sum of the two given sides. These limits can be derived from the fact that any two sides of a triangle must have a combined length greater than the third side.
If two sides of a triangle are 4 and 9 the third side could be?
The third side must be less than 13 but greater than 5.
Which of the following is the statement of the Triangle Inequality Theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Relations among the sides of an triangle?
The sum of the measures of two sides of a triangle is greater than the measure of the third side. (i HOPE IT CAN HELP!) =) --jiandra lee Lopez becina
What could be the third side of a triangle with side lengths of 4 cm and 6 cm?
The sum of the 2 shorter sides must be greater than the longest side to form a triangle
