Triangles (Including Types, Angle Properties and Construction)
Triangles are classified by their sides and angles, follow specific angle properties, and can be constructed using given measurements.
Core concept
Triangles can be classified by sides - equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).
How it works
Triangles can also be classified by angles - acute (all angles less than 90°), right (one 90° angle), or obtuse (one angle more than 90°).
Why it matters
The sum of all angles in any triangle always equals 180°, a fundamental property used in solving triangle problems.
Key detail
Triangles can be constructed using given side lengths (SSS), two sides and an angle (SAS), or other combinations of known measurements.
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Quick notes
• Triangles classified by sides: equilateral, isosceles, scalene.
• Equilateral: all sides equal.
• Isosceles: two sides equal.
• Scalene: no sides equal.
• Triangles classified by angles: acute, right, obtuse.
• The angle sum in any triangle is 180°.
• This is a fundamental triangle property.
• Triangles can be constructed using SSS or SAS.