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Name: Date: Triangles: Sides & Angles Based on the given criteria, determine whether no triangle can be formed, only 1 (a unique) triangle can be formed, or more than one triangle can be formed. Place
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How to fill out triangles sides angles

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How to fill out triangles sides angles:

01
First, identify the known values: the lengths of the sides or the measures of the angles that you already know.
02
Use the triangle's properties and formulas to find the missing side lengths or angle measures.
03
Apply the Law of Sines or the Law of Cosines, depending on the available information, to determine the missing values.
04
If you have enough information, you can use the Pythagorean Theorem to find missing side lengths in right triangles.
05
Make sure to check your work and evaluate if the triangle you filled out is valid and consistent with the given information.

Who needs triangles sides angles?

01
Students studying geometry or trigonometry: Triangles are fundamental shapes in these subjects, and understanding their sides and angles is crucial for solving various problems.
02
Architects and engineers: Triangles and their properties are regularly used in designing structures, calculating forces, and determining stability.
03
Construction workers and carpenters: When building or assembling structures, knowledge of triangle sides and angles is essential for achieving accuracy and stability.
04
Surveyors and mapmakers: Triangulation methods, which involve measuring angles and distances between triangles, are commonly used to determine accurate locations and distances on maps and surveys.
05
Artists and designers: Triangles are often used in creating visually appealing compositions or patterns, and understanding their angles and proportions can help in achieving aesthetically pleasing results.
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Triangles have three sides and three angles.
Mathematicians, students studying geometry, and anyone working with triangles may need to calculate and report their sides and angles.
To calculate the sides and angles of a triangle, you can use trigonometry formulas or the Pythagorean theorem.
Understanding the sides and angles of a triangle helps in solving geometric problems, measuring distances, and determining the shape of objects.
The lengths of the sides and the measures of the angles of the triangle must be reported.
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