Circumscribed 81759

In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle.

Correct answer:

S =  10.3923 cm2
r =  1.3592 cm
R =  3.0551 cm

Step-by-step explanation:

a=4 cm b=6 cm γ=60   c2 = a2+b2  2ab cos γ  c=a2+b22 a b cosγ=a2+b22 a b cos60° =42+622 4 6 cos60° =42+622 4 6 0.5=5.2915 cm  s=2a+b+c=24+6+5.29157.6458 cm  S=s (sa) (sb) (sc)=7.6458 (7.64584) (7.64586) (7.64585.2915)=6 3 cm cm=10.3923 cm2
S=r s  r=S/s=10.3923/7.6458=1.3592 cm

Try calculation via our triangle calculator.

R=4 r sa b c=4 1.3592 7.64584 6 5.2915=3.0551 cm

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