Sides ratio

Calculate the circumference of a triangle with area 84 cm2 if a:b:c = 10:17:21

Correct result:

o =  48 cm

Solution:

a1=10 b1=17 c1=21  S=84  s1=(a1+b1+c1)/2=(10+17+21)/2=24 S1=s1⋅ (s1−a1)⋅ (s1−b1)⋅ (s1−c1)=24⋅ (24−10)⋅ (24−17)⋅ (24−21)=84 k=S/S1=84/84=1 a=k⋅ a1=1⋅ 10=10 b=k⋅ b1=1⋅ 17=17 c=k⋅ c1=1⋅ 21=21 o=a+b+c=10+17+21=48 cm

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