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Name: Date: Period: Triangle Inequality Investigation 1. Open the GSP sketch, Triangle Inequality. Complete the chart below. Mph + Mr : Mr + MPR : mph + MPR : MPR : mph : Mr : 2. Highlight point P
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Who needs triangle inequality investigation?

01
Students studying geometry or trigonometry.
02
Teachers or educators teaching geometry or trigonometry.
03
Researchers or mathematicians interested in the concept of triangle inequality.

How to fill out triangle inequality investigation:

01
Begin by understanding the concept of triangle inequality. Triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
02
Choose a specific triangle or set of triangles to investigate. It could be a right triangle, equilateral triangle, or any other type of triangle that interests you.
03
Gather the necessary information and measurements of the triangle(s) you are investigating. This includes the lengths of the sides and possibly the angles as well.
04
Use the triangle inequality theorem to check if the given measurements satisfy the inequality condition for each triangle. Calculate the sum of the two shorter sides and compare it to the length of the longest side. Repeat this process for all the triangles you are investigating.
05
Record your findings and observations. Determine whether the triangle inequality theorem holds true for each of the triangles you examined.
06
Analyze any patterns or relationships that you may have noticed during the investigation. Are there any specific conditions or types of triangles where the triangle inequality theorem is more likely to be violated?
07
Draw conclusions based on your investigation. Discuss the implications of the triangle inequality theorem and how it impacts the properties and characteristics of triangles.
08
If applicable, communicate your findings through a report, presentation, or discussion. Share your insights with others who might benefit from your investigation, such as classmates, teachers, or fellow mathematicians.
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Triangle inequality investigation is an examination conducted to ensure that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Any individual or organization involved in the construction or analysis of triangles may be required to file a triangle inequality investigation.
To fill out a triangle inequality investigation, one must provide details of the triangle's side lengths and angles, along with any supporting calculations or proofs.
The purpose of a triangle inequality investigation is to verify the validity of a triangle based on the triangle inequality theorem.
Information such as the lengths of the triangle's sides, the measures of its angles, and any supporting calculations or proofs must be reported on a triangle inequality investigation.
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