Math Problem Statement

Classify the triangle by its sides and angles.

Solution

The triangle depicted in the image is classified based on its sides and angles. Here's the analysis:

  1. By Sides: The triangle has three congruent sides (as indicated by the markings), making it an equilateral triangle.

  2. By Angles: All angles in an equilateral triangle are equal and measure 6060^\circ, which makes it also an acute triangle (all angles are less than 9090^\circ).

Thus, the triangle is equilateral, acute.

Would you like further explanation or any additional details?

Here are some related questions to explore:

  1. What are the properties of equilateral triangles?
  2. How does an equilateral triangle differ from an isosceles triangle?
  3. Can an equilateral triangle ever have a right or obtuse angle?
  4. How do you calculate the area of an equilateral triangle given its side length?
  5. What are the real-life applications of equilateral triangles?

Tip: Remember, in equilateral triangles, all three angles are always 6060^\circ, making them a subset of acute triangles!

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Classification
Equilateral Triangles
Acute Triangles

Formulas

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Theorems

Equilateral Triangle Properties

Suitable Grade Level

Grades 6-8