Math Problem Statement

Classify this triangle by its sides and angles.

Solution

To classify this triangle, we should analyze the angle and side information shown in the image:

  1. Angle Type: The triangle has one angle marked larger than a right angle, which indicates it is an obtuse triangle. This means one of its angles is greater than 90°.

  2. Side Type: Since the triangle has two sides marked as equal (indicated by the markings on two sides), this is an isosceles triangle.

Given this information, the correct classification for this triangle would be:

  • Obtuse and Isosceles

Would you like further details or explanations on this topic?

Here are five related questions to deepen your understanding:

  1. How can you determine if a triangle is acute, obtuse, or right?
  2. What defines an isosceles triangle versus a scalene triangle?
  3. Why are two sides of an isosceles triangle equal in length?
  4. How would you classify a triangle if all three sides were different?
  5. What are some real-world examples where classifying triangles by angles and sides is useful?

Tip: When classifying triangles, always check both the angle types and the side lengths for the most accurate identification.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Classification
Angles
Side Lengths

Formulas

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Theorems

Triangle Angle Theorem
Triangle Inequality Theorem

Suitable Grade Level

Grades 6-8