Eşkenar Üçgen Tek Parça Eyüp B. Geometri VDK 2027 YKS

Zihin haritası özeti: Equilateral Triangle

Basic Properties
- Equal Sides
  - All angles 60°
  - External angles 120°
- Equal Heights
  - All heights same
  - Height = angle bisector + median
- Isosceles Properties
  - Perpendicular bisects base
  - Base angles equal
30-60-90 Triangle
- Side ratios a:a√3:2a
  - Opposite 30 = a
  - Opposite 60 = a√3
  - Opposite 90 = 2a
- Essential tool
  - Used in most problems
Center Properties
- Incircle + circumcircle center
  - MA = MB = MC equal
  - Creates 120° angles
- Angle bisector at center
  - Divides equally
Interior Point Rules
- Parallel sum = side
  - From any interior point
  - Parallels to all sides
- Height sum = main height
  - H1 + H2 + H3 = h
  - Area proof method
Problem Solving
- Using given equality
  - Find side length first
  - Then solve for unknown
- Perpendicular strategy
  - Drop from opposite side
  - When √2 or 45° present
- Avoid blind methods
  - Strategic perpendicular placement
  - Use special angles given
Real Applications
- Folding problems
  - Angles preserved in fold
  - Create isosceles triangles
- Rotation geometry
  - Length unchanged in rotation
  - Perpendicular to ground
- Parallel lines intersection
  - Zigzag angle rule

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