Questions and Answers
How can triangles be classified?
What is a right triangle?
A triangle that has only one right angle
What defines an acute triangle?
A triangle that has three angles less than 90°
What characterizes an obtuse triangle?
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What is an equiangular triangle?
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What is an equilateral triangle?
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What is an isosceles triangle?
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What is a scalene triangle?
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What does the Triangle Inequality Theorem state?
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Study Notes
Classification of Triangles
- Triangles can be organized based on their sides or angles.
Types of Triangles by Angles
- Right Triangle: Contains exactly one right angle (90°).
- Acute Triangle: All three angles are less than 90°.
- Obtuse Triangle: Contains one angle that is greater than 90°.
Types of Triangles by Sides
- Equiangular Triangle: All three angles are equal, implying all sides are congruent, creating a specific type where angles measure 60° each.
- Equilateral Triangle: Has three sides of equal length; all angles are also congruent (60°).
- Isosceles Triangle: Features two sides that are equal in length, resulting in two equal angles opposite those sides.
- Scalene Triangle: No sides are equal; therefore, all three angles are different.
Triangle Inequality Theorem
- The principle states that the sum of the lengths of any two sides must exceed the length of the third side, ensuring that a triangle can exist with the given side lengths.
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Description
Explore the different classifications of triangles with these flashcards. Learn about right, acute, obtuse, and equiangular triangles, including their unique properties and definitions. Perfect for students looking to deepen their understanding of triangle geometry.
