Kosokutni trokut

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Kosokutni trokut by Mind Map: Kosokutni trokut

1. Kosinusov poučak

1.1. a^2=b^2+c^2-2bc*cos(α)

1.2. b^2=a^2+c^2-2ac*cos(β)

1.3. c^2=a^2+b^2-2ab*cos(γ)

2. Sinusov poučak

2.1. 2R=a/sin(α)=b/sin(β)=c/sin(γ)

2.2. Simetrale

2.2.1. x:y=c:a

3. Visine trokuta

3.1. b:c=Vc:Vb

3.2. c:a=Va:Vc

4. Površina trokuta

4.1. P=(a^2*sin(β)*sin(γ))/2sin(α)

4.2. P=(b^2*sin(α)*sin(γ))/2sin(β)

4.3. P=(c^2*sin(β)*sin(α))/2sin(γ)

4.4. P=a*Va/2

4.5. P=abc/2R

4.6. P=1/2ab*sin(γ)

4.7. P=1/2ac*sin(β)

4.8. P=1/2bc*sin(α)