Math Problem Statement
Answer
Classify the triangle by its angles and by its sides.
Solution
To classify this triangle, we can analyze it based on its angles and sides.
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Classification by Angles:
- The triangle has angles of , , and .
- Since none of the angles are or greater, this triangle is an acute triangle (all angles are less than ).
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Classification by Sides:
- Two of the angles are equal (), indicating that two of the sides are also equal (by the property of isosceles triangles).
- Therefore, this triangle is an isosceles triangle (two sides are equal in length).
Final Classification:
The triangle is an acute isosceles triangle.
Would you like more details or have any questions?
Here are some related questions:
- How do we classify triangles based on their sides?
- How do we classify triangles based on their angles?
- What makes a triangle an isosceles triangle?
- What are the other types of triangles based on angle classification?
- How does the sum of angles in a triangle help in classification?
Tip: In any triangle, the sum of the angles is always . This can help verify the classification.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Classification
Formulas
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Theorems
Isosceles Triangle Property
Triangle Angle Sum Theorem
Suitable Grade Level
Grades 6-8