Subjects geometry

Triangle Classification 2E85Eb

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1. **State the problem:** Classify the given triangle by side length and angle measure. 2. **Analyze side lengths:** The triangle has matching tick marks on all three sides, indicating all sides are equal. 3. **Conclusion on side lengths:** A triangle with all sides equal is called an **equilateral triangle**. 4. **Analyze angles:** The triangle has angle arcs at all three vertices, and since it is equilateral, all angles are equal. 5. **Angle measure in equilateral triangle:** Each angle in an equilateral triangle measures $$\frac{180^\circ}{3} = 60^\circ$$. 6. **Conclusion on angles:** Since all angles are 60 degrees, which is less than 90 degrees, the triangle is **acute**. 7. **Final classification:** The triangle is **equilateral and acute**.