Podcast
Questions and Answers
What is a scalene triangle?
What is a scalene triangle?
- A triangle with no congruent sides (correct)
- A triangle with at least two congruent sides
- A triangle with one right angle
- A triangle with three congruent sides
What is an isosceles triangle?
What is an isosceles triangle?
- A triangle with one right angle
- A triangle with three acute angles
- A triangle with no congruent sides
- A triangle with at least two congruent sides (correct)
What is an equilateral triangle?
What is an equilateral triangle?
- A triangle with three acute angles
- A triangle with no congruent sides
- A triangle with three congruent sides (correct)
- A triangle with one obtuse angle
What defines an acute triangle?
What defines an acute triangle?
What characterizes an obtuse triangle?
What characterizes an obtuse triangle?
What is a right triangle?
What is a right triangle?
What are the classifications of a right-scalene triangle?
What are the classifications of a right-scalene triangle?
What are the classifications of an acute-scalene triangle?
What are the classifications of an acute-scalene triangle?
What are the classifications of an obtuse-scalene triangle?
What are the classifications of an obtuse-scalene triangle?
What are the classifications of a right-isosceles triangle?
What are the classifications of a right-isosceles triangle?
What are the classifications of an acute-isosceles triangle?
What are the classifications of an acute-isosceles triangle?
What are the classifications of an obtuse-isosceles triangle?
What are the classifications of an obtuse-isosceles triangle?
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Study Notes
Types of Triangles Based on Sides
- Scalene Triangle: Has no sides that are congruent.
- Isosceles Triangle: Contains at least two congruent sides.
- Equilateral Triangle: All three sides are congruent.
Types of Triangles Based on Angles
- Acute Triangle: Contains three acute angles, where each angle is less than 90 degrees.
- Obtuse Triangle: Contains one obtuse angle, which is greater than 90 degrees.
- Right Triangle: Contains one right angle, exactly 90 degrees.
Combined Classifications
- Right-Scalene Triangle: A triangle with one right angle and no congruent sides.
- Acute-Scalene Triangle: A triangle with all angles acute and no congruent sides.
- Obtuse-Scalene Triangle: A triangle with one obtuse angle and no congruent sides.
- Right-Isosceles Triangle: A triangle with one right angle and two congruent sides.
- Acute-Isosceles Triangle: A triangle with all angles acute and two congruent sides.
- Obtuse-Isosceles Triangle: A triangle with one obtuse angle and two congruent sides.
Key Points
- Triangles can be classified based on side lengths and angle measures.
- The presence of congruent sides or specific angle types determines the classification of triangles.
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