Geometry – Scalene Triangle

Kamis, 02 April 2020

Scalene Triangle (A triangle with no two sides equal)

Sides of a triangle: a, b, c

Semiperimter: 

Altitudes to a triangle: α, β, γ

Altitudes to the side a, b, c: h_a, h_b, h_c

Medians to the sides a, b, c: m_a, m_b, m_c

Bisectors of the angles α, β, γ: t_a, t_b, t_c

Radius of circumscribed circle: R

Radius of circle circle: r

Area: S

Figure

• α + β + γ = 180°
• a + b > c,

   b + c > a,

   a + c > b.

• |a – b| < c,

  |b – c| < a,

  |a – c| < b,

• Midline

  

Figure

• Law of Cosines

  a² = b² + c² – 2bc cos α,

  b² = a² + c² – 2ac cos β,

  c² = a² + b² – 2ab cos γ.

Figure

Sumber

Labels: Mathematician

Thanks for reading Geometry – Scalene Triangle. Please share...!