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.

  1. Classification by Angles:

    • The triangle has angles of 5959^\circ, 5959^\circ, and 6262^\circ.
    • Since none of the angles are 9090^\circ or greater, this triangle is an acute triangle (all angles are less than 9090^\circ).
  2. Classification by Sides:

    • Two of the angles are equal (5959^\circ), 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:

  1. How do we classify triangles based on their sides?
  2. How do we classify triangles based on their angles?
  3. What makes a triangle an isosceles triangle?
  4. What are the other types of triangles based on angle classification?
  5. How does the sum of angles in a triangle help in classification?

Tip: In any triangle, the sum of the angles is always 180180^\circ. 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