Beautiful Geometry
Sir Ramanujan said "The sides of the triangle is given. You have to find out the radii of the three circles inside the triangle, the three circles touches each other as well as each touches two side of the triangle as shown in the figure."
Take a = 507,
b = 375 and
c = 252
"You have got all of the weekend and the week after to solve the problem"
Can you ?
Take a = 507,
b = 375 and
c = 252
"You have got all of the weekend and the week after to solve the problem"
Can you ?
Labels: friday special, mathemagic, thinktank
posted by Rajesh Lal at
4:59 PM
16 Comments:
yes :)
~ghostrider655
And for the first time
There is a hint but it is HIDDEN !
Well...
I've got the angles and ratios, but I have two recursive expressions and I'm missing the third one that I need! Ah... Any ideas?
(A is radius of biggest circle, B is radius of med, and C is smallest)
A=5.25*C
B=.99A-1.99C
C=.19A
Unfortunatly I doubt I'll be able to sleep til I get this.
okay whatever im going to bed.
ill have to look at this again tomorrow.. haha
i dont really think theres a hint, i think its just a super mean trig problem
tilt the screen to see the hint. Can anyone clearly read or see it? I see numbers and something else.
small circle = 36.00
medium circle = 56.25
large circle = 64.00
Drake
In faded ink/writing, i see N D E L on the top row,
_ _ L D E N on the second row, and
10000000000 on the third.
in response to anonymous 2 posts above me.
~Ghostrider655
The 1st line looks more like "inbel" and i suggest it is a cut part of sth. like e.g. "unbelievable".
In the 2nd line I can read "I believe ." (dot or maybe a cut colon)
The 3rd line could be "190000000001 n" ("n" or pi)
I'm not sure if these prints are the "hidden" hints. They don't seem to make much sense.
(AL)
Wow! this is really cool! i used word to edit the picture and can more clearly read the hidden message! you have to copy the picture and paste it onto word. then you have to flip the picture verticaly. then you right click on the image and select "format picture". then select "shadow". change the color to black, size to 50%, angle to 90, and distance to 200pt. hope this helps someone!
Rajesh Lal, are you gona tell us the answer? or at least the hint? lol. And by the way, try that thing with word. really cool!
The hint is the name !
do you mean "beautiful geometry" or
"Sir Ramanujan"?
there is more to it than meets the eye
well obviously! lol! and is the hint visible with the naked eye? i mean like staring straight at it?
can you please tell us the answer now?!?!
ANSWER
-----------------------
small circle = 36.00
medium circle = 56.25
large circle = 64.00
GOT RIGHT
-----------------------
2nd Anonymous of July 21
HINT
-----------------------
The hint was the name of the image
malfatti.png
This is a FAMOUS MALFAATI PROBLEM
More Details
-----------------------
http://www.cut-the-knot.org/Curriculum/Geometry/MalfattiZoom.shtml
http://mathworld.wolfram.com/MalfattisProblem.html
http://commons.wikimedia.org/wiki/Image:Yff%27s_solution_of_Malfatti_problem.svg
Hope you guys had fun solving it
-----------------------
Rajesh Lal
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