SOLUTION: Three circles of radii 2, 4, and 6 are tangent to each other externally. Find
the area of the triangle formed by connecting their centers.
Algebra.Com
Question 388452: Three circles of radii 2, 4, and 6 are tangent to each other externally. Find
the area of the triangle formed by connecting their centers.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The lengths of the sides of the triangle are the sums of the respective radii.
Use Heron's formula,
where
Then,
RELATED QUESTIONS
Three circles of radii 4, 5 and 6 are mutually tangent to each other. Find the angles of... (answered by Alan3354)
three circles, each with a radius of 6 inches, are externally tangent to each other. What (answered by Edwin McCravy)
three circles are tangent to each other externally. The distance between their centers... (answered by Alan3354)
the centres of three circles form a triangle PQR in which PQ=8cm, QR=10cm, and PR=12cm.... (answered by ikleyn)
Circles A, B, and C are externally tangent to each other. AB= 10 cm, BC= 12cm, and CA=16. (answered by Alan3354)
Three circles are tangent externally to each other. The lines of centers are 12, 18 and... (answered by ankor@dixie-net.com)
Three circles with radii 6 are tangent to each other. Find the area of the region... (answered by scott8148)
Three circles with centers A, B, and C are externally tangent to each other as shown in... (answered by Alan3354)
Three identical circles are tangent to each other externally. If the area of the... (answered by Fombitz,robertb)