Could Segments Form a Triangle?
You Are Given the Lengths of Three Segments and Asked to Arrange the Segments So That They Form a Triangle. .. . the Sum of the Lengths of Any Two Sides of a...
You are given the lengths of three segments and asked to arrange the segments so that they form a triangle. ... The sum of the lengths of any two sides of a triangle must be greater than the third side. This Theorem is called the Triangle Inequality Theorem. If these inequalities are NOT true, you will not have a triangle!
Do the segments form a triangle?
If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.
Could the segments 9 7 and 16 form a triangle?
Add any two sides and see if it is greater than the other side. The sum of 7 and 9 is 16 and 16 is greater than 13 . ... This set of side lengths satisfies the Triangle Inequality Theorem. These lengths do form a triangle.
Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.
