A symmetric tree has decorative lines of equal slope, and of lengths 11 and 13. What is the area ratio of green to red to brown?
Scroll down for a solution to this problem.
Solution
Green : red : brown is 1331 : 528 : 338.
![](https://mirangu.com/wp-content/uploads/2023/12/TheTreeSolution.jpg)
A symmetric tree has decorative lines of equal slope, and of lengths 11 and 13. What is the area ratio of green to red to brown?
Scroll down for a solution to this problem.
Green : red : brown is 1331 : 528 : 338.
A symmetric tree has decorative lines of equal slope, and of lengths 11 and 13. What is the area ratio of green to red to brown? https://t.co/nEILpT3cRs By @MarshallWBuck pic.twitter.com/L8FK1hTocB
— Mirangu (@Mirangu1) December 19, 2023
One reply on “Decorating the tree”
G=green area
R=red area
B= brown area
G+R is similar to triangle G
So G+R = (13/11)^2 G
Also easy is (G+R+B)/(G+R)= 13/11.
So G:G+R:G+R+B. = 11^3: 11*13^2: 13^3