Triangles and Their Properties
A triangle has three sides and three angles, and understanding its properties helps us classify and solve problems involving triangles.
Core concept
Triangles can be classified by sides: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal).
How it works
Triangles can also be classified by angles: acute (all angles less than 90°), right (one 90° angle), and obtuse (one angle over 90°).
Why it matters
The sum of all three angles in any triangle always equals 180°, a fundamental property used in solving triangle problems.
Key detail
Understanding triangle properties helps us solve geometric problems and recognise triangles in everyday structures and designs.
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Quick notes
• Classified by sides: equilateral, isosceles, scalene.
• Equilateral: all sides equal.
• Isosceles: two sides equal.
• Scalene: no sides equal.
• Classified by angles: acute, right, obtuse.
• Angle sum in a triangle = 180°.
• This is a fundamental triangle property.
• It helps solve triangle problems.