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estudier
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Circles, tangent everywhere, all the way up the triangle.
Sum of perimeters of all the triangles
(Bit difficult to draw this, wait a minute)
 one year ago
 one year ago
estudier Group Title
Circles, tangent everywhere, all the way up the triangle. Sum of perimeters of all the triangles (Bit difficult to draw this, wait a minute)
 one year ago
 one year ago

This Question is Closed

estudier Group TitleBest ResponseYou've already chosen the best response.0
dw:1350233869190:dw
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Base 20, and sides 26
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Sum of perimeters of all the circles, I mean...
 one year ago

yomamabf Group TitleBest ResponseYou've already chosen the best response.0
wait r u trying to teach or is this something you really need help on? cuz ur at level 99
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Think of it as a tutorial (or not):)
 one year ago

yomamabf Group TitleBest ResponseYou've already chosen the best response.0
so circles dont matter so i would add 20 to 26?
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I already corrected that above, it is the perimeter of all the circles
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Hint This is just Pythagorus and a splash of imagination....
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
dw:1350234945917:dw is something missing ... like side of triangle or ... radius of circle of first and second??
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Maybe you didn't see it, sorry.. I posted above "Base 20, and sides 26"
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Maybe I should close it and repost it with out the error and including the figures :(
 one year ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.3
No. I will solve it.
 one year ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.3
Do you have an answer?
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Wow, this a lot of typing....
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Anyone just want to write out the infinite sum...?
 one year ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.3
Try to check my solution. Lets sign the radiuses of the circles \(r_1, r_2,...\). Then their length will be \(2\pi r_1+2\pi r_2+...=2\pi(r_1+r_2+...)\). Now watch the picture.dw:1350235644893:dwFrom the picture you can see that radiuses take a half of the height of the triangle. So I conclude that the whole perimeter of the circumferences is \(\frac 12\cdot\sqrt{26^210^2}=12\)
 one year ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.3
Sorry, forgot to multiply by \(2\pi\). Answer is \(24\pi\).
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
That's right, pi*(d1 + d2 +.....) = pi * altitude of triangle
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
I think I've seen this done before using a geometric progression.
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge Yup, u could do that, lot more work though....
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Right, I will close this one....
 one year ago
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