This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Definition of a Triangle. A triangle is a polygon with three straight sides and three vertices (corners). The sum of the interior angles of any triangle is always .
Step 2: Types of Triangles based on sides. • Equilateral Triangle: All three sides are equal in length. Consequently, all three interior angles are also equal, each measuring . • Isosceles Triangle: Exactly two sides are equal in length. The angles opposite these two equal sides are also equal. • Scalene Triangle: All three sides have different lengths. Consequently, all three interior angles have different measures.
Step 3: Types of Triangles based on angles. • *Acute-angled Triangle
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Definition of a Triangle. A triangle is a polygon with three straight sides and three vertices (corners).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.