Types of Triangles(Based on Angles)|Acute Angle Triangle |Right Angle triangle|ObtuseAngle Triangle

Описание: Triangles are primarily classified in two ways: by their sides and by their angles. When we look at a triangle through the lens of its internal angles, we categorize them based on how they relate to a 90^\circ (right) angle.
​No matter the type, one rule always remains the same: the sum of the three interior angles in any triangle is always 180^\circ.

​The Three Types of Triangles (By Angle)

​1. Acute-Angled Triangle
​In an acute-angled triangle, all three internal angles are "acute," meaning they each measure less than 90^\circ.
​Defining Feature: Every single angle is less than 90^\circ.
​Example: An equilateral triangle is always acute because every angle is exactly 60^\circ.

2. Right-Angled Triangle
​A right-angled triangle contains exactly one 90^\circ angle. This angle is usually denoted by a small square symbol in the corner.
​Defining Feature: One angle = 90^\circ.
​Key Fact: The side opposite the right angle is called the hypotenuse, and it is always the longest side of the triangle.
​Math Note: The other two angles must be acute and add up to 90^\circ.

​3. Obtuse-Angled Triangle
​An obtuse-angled triangle contains exactly one "obtuse" angle, which is an angle measuring more than 90^\circ but less than 180^\circ.
​Defining Feature: One angle lgreater than 90^\circ.
​Key Fact: Because the total sum must be 180^\circ, a triangle can never have more than one obtuse angle.

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