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 3: Types of Triangles based on angles. • Acute-angled Triangle: All three interior angles are acute (less than ). • Right-angled Triangle: One of the interior angles is exactly . The side opposite the right angle is called the hypotenuse, which is the longest side. • Obtuse-angled Triangle: One of the interior angles is obtuse (greater than ). The other two angles must be acute.
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Types of Triangles based on angles. • Acute-angled Triangle: All three interior angles are acute (less than 90^).
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.