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55UseInequalitiesinaTriangle.notebookNovember24,201555 InequalitiesinATriangle155UseInequalitiesinaTriangle.notebookNovember24,2015Whichisthelongestside? AB AC BC CABWhichisthelargestangle? A B C

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How to fill out inequalities in a triangle

01

To fill out inequalities in a triangle, follow these steps:

02

Start by labeling the three sides of the triangle as a, b, and c.

03

Determine the lengths of the sides. You can use a ruler or any other measurement tool to find the actual values.

04

Apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In mathematical notation, this can be written as:

05

a + b > c

06

b + c > a

07

c + a > b

08

Solve these three inequalities simultaneously to find the possible ranges of values for the sides of the triangle.

09

Use the solution to determine the valid range for each side of the triangle.

Who needs inequalities in a triangle?

01

Inequalities in a triangle are needed by mathematicians, geometry students, and anyone working with triangles in various fields such as engineering, architecture, and physics.

02

These inequalities help in analyzing and determining the relationships between the sides of a triangle to ensure that they form a valid triangle.

03

They are also used in proving mathematical theorems and solving geometric problems involving triangles.

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What is inequalities in a triangle?

Inequalities in a triangle refer to the relationship between the lengths of the sides and the angles of a triangle.

Who is required to file inequalities in a triangle?

Mathematicians, students, and anyone studying geometry may need to understand and work with inequalities in a triangle.

How to fill out inequalities in a triangle?

Inequalities in a triangle can be filled out by comparing the side lengths and angles of the triangle using mathematical formulas and theorems.

What is the purpose of inequalities in a triangle?

The purpose of inequalities in a triangle is to analyze and understand the relationships between the sides and angles of a triangle.

What information must be reported on inequalities in a triangle?

The lengths of the sides, the measurements of the angles, and any inequalities or relationships discovered between them must be reported in inequalities in a triangle.

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