Calculate 72624

The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1: 2, b: c = 5: 6. Calculate the lengths of all sides of the triangle ABC.

Correct answer:

a =  3.6296 cm
b =  7.2593 cm
c =  8.7111 cm

Step-by-step explanation:

o=19.6 cm a:c=1:2=5:10 b:c=5:6=10:12  a:b:c=5:10:12  d=5+10+12o=5+10+1219.6=135980.7259 cm  a=5 d=5 0.7259=2798 cm=3.6296 cm
b=10 d=10 0.7259=27196 cm=7.2593 cm
c=12 d=12 0.7259=453928.7111 cm  Verifying Solution:  r1=a/b=3.6296/7.2593=21=0.5 r2=b/c=7.2593/8.7111=650.8333  o2=a+b+c=3.6296+7.2593+8.7111=598=19.6 cm

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