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Name___9.5Date ___Inequalities in Two Triangles For use with Exploration 9.5Essential Question If two sides of one triangle are congruent to two sides of another triangle, what can you say about the

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How to fill out inequalities in two triangles

01

Identify the given information about the two triangles such as side lengths, angles or relationships between them.

02

Use the Triangle Inequality Theorem to compare the sum of two sides of a triangle to the length of the third side in both triangles.

03

Write down the inequalities based on the comparisons made in step 2.

04

Solve the inequalities to determine the possible range of values for the sides of the triangles.

Who needs inequalities in two triangles?

01

Mathematicians, engineers, architects and other professionals who work with geometric shapes and measurements may need to use inequalities in two triangles to determine the validity of geometric constructions or to make calculations for various applications.

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What is inequalities in two triangles?

Inequalities in two triangles refer to the concept that if one triangle has sides greater than those of another triangle, then the angles of the first triangle will also be greater than those of the second.

Who is required to file inequalities in two triangles?

Typically, those studying geometry or engaging in mathematical proofs involving triangles may need to refer to inequalities in two triangles.

How to fill out inequalities in two triangles?

To fill out inequalities in two triangles, one must compare the lengths of corresponding sides and angles, and establish the relationships based on triangle inequality theorem.

What is the purpose of inequalities in two triangles?

The purpose of inequalities in two triangles is to determine the relationship between the sizes of triangles and to establish foundational concepts in triangle geometry.

What information must be reported on inequalities in two triangles?

Typically, one must report the lengths of the sides and measures of angles for comparison between the two triangles.

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