Circles

Three circles with radii 30 cm, 28 cm, and 37 cm are mutually tangent externally. What is the perimeter of the triangle whose vertices are the centres of the circles?

Final Answer:

o =  190 cm

Step-by-step explanation:

r1=30 cm r2=28 cm r3=37 cm  a=r1+r2=30+28=58 cm b=r2+r3=28+37=65 cm c=r3+r1=37+30=67 cm  o=a+b+c=58+65+67=190=190 cm   Verifying Solution:  o2=2 (r1+r2+r3)=2 (30+28+37)=190 cm o2=o



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