Circumference 64104

The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of ​​the triangle A'B'C '.

Correct answer:

S2 =  60.7947 cm2

Step-by-step explanation:

o1=11 cm x=6 cm y=120 mm cm=120:10  cm=12 cm z=1.5 dm cm=1.5 10  cm=15 cm  o2=o1+(x+y+z)=11+(6+12+15)=44 cm  k=o2/o1=44/11=4  X=x+a=k a Y=y+b=k b Z=z+c=k c  a=x/(k1)=6/(41)=2 cm X=x+a=6+2=8 cm  b=y/(k1)=12/(41)=4 cm Y=y+b=12+4=16 cm  c=z/(k1)=15/(41)=5 cm Z=z+c=15+5=20 cm  s2=o2/2=44/2=22 cm  S2=s2 (s2X) (s2Y) (s2Z)=22 (228) (2216) (2220)=4 23160.7947 cm2   Verifying Solution:  O1=a+b+c=2+4+5=11 cm O2=X+Y+Z=8+16+20=44 cm



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