Major props to anyone who can solve this - Page 3

MrRubix · 09-9-2007, 01:01 AM

Correct solution, but needlessly complicated. There is a solution that requires no trig -- just pure geometric reasoning, and this is the solution I'm asking about. Regardless, nice job! Very cool

Tokzic · 09-9-2007, 01:01 AM

oh in that case i'll post mine just a sec

Xezial · 09-9-2007, 03:28 AM

i've got almost all the angles, need 4 more, lol, I haven't done geometry in WAY too long... 2 months...

Edit: yeah I"m pretty ****ing stumped, haven't looked at mr richard's "solution" yet, though.

perkeyone · 09-9-2007, 01:08 PM

hmm it has to do with congruent sides i think...
UY~YV
UV~UW

Snowcrafta · 09-9-2007, 01:16 PM

The degree is 15

**makdaddy** · 09-9-2007, 01:20 PM

perkeyone · 09-9-2007, 04:29 PM

Quote:

Originally Posted by Snowcrafta

The degree is 15

um no

madmatt621 · 09-9-2007, 05:06 PM

Do I need to solve it with Paint or can I solve it on graph paper on my desk then take a picture of it?

MRichards · 09-9-2007, 05:53 PM

Perhaps these similar triangles are what you're after - simpler and provable without a calculator, though I still used a fair bit of working to prove the side ratios (omitted, tell me if you really want to see it).

There is also a very nice method of dividing the triangle into 3 similar regular trapezoids, but it also gets ugly at the end.

I suspect there might be a further little trick involved to reduce the working - the kind that gets mathematicians all wet around the cosines... Frankly, I still quite like my first sledgehammer approach.

perkeyone: I use Microsoft Visio for the drawings

perkeyone · 09-9-2007, 07:47 PM

hey there are 1001 ways to solve this thing so why dont u let us know what way u did it, i am curious to know

**Doug31** · 09-9-2007, 08:09 PM

Here's what I came up with:

perkeyone · 09-9-2007, 08:14 PM

Quote:

Originally Posted by Doug31

Here's what I came up with:

umm how

MRichards · 09-10-2007, 09:09 AM

Here's my full working. Involves some trig, but with no evaluation - so it's utterly rigorous. There may be a cheeky way to show it more simply, but this'll do.

**All_That_Chaz** · 09-10-2007, 09:19 AM

o.o;; it's been more than 4 years since I've taken math, more than 6 since I've used geometry... but mrichard's and doug's look right.

...i was considered smart once.

MrRubix · 09-10-2007, 09:29 AM

Quote:

Originally Posted by MRichards

Perhaps these similar triangles are what you're after - simpler and provable without a calculator, though I still used a fair bit of working to prove the side ratios (omitted, tell me if you really want to see it).

There is also a very nice method of dividing the triangle into 3 similar regular trapezoids, but it also gets ugly at the end.

I suspect there might be a further little trick involved to reduce the working - the kind that gets mathematicians all wet around the cosines... Frankly, I still quite like my first sledgehammer approach.

perkeyone: I use Microsoft Visio for the drawings

VERY nice

MRichards · 09-10-2007, 09:42 AM

What is the method that requires no trig?

**windsurfer-sp** · 09-10-2007, 09:47 AM

MRichards seems to be FFR's numbers man. I remember his awsome speed mod FFR to Stepmania comparison. I guess Mrubix is numbertacluar as well.

My high school education understands this sort of but I cant do it on my own or from scratch.

09-9-2007, 01:01 AM	#41
MrRubix FFR Player Join Date: Dec 1969 Location: New York City, New York Posts: 8,340	Re: Major props to anyone who can solve this Correct solution, but needlessly complicated. There is a solution that requires no trig -- just pure geometric reasoning, and this is the solution I'm asking about. Regardless, nice job! Very cool __________________ https://www.youtube.com/watch?v=0es0Mip1jWY

09-9-2007, 01:01 AM	#42
Tokzic FFR Player Join Date: May 2005 Location: TGB Age: 34 Posts: 6,878	Re: Major props to anyone who can solve this oh in that case i'll post mine just a sec __________________ ~very popular guitar streamer~ Last edited by Tokzic: Today at 11:59 PM. Reason: wait what

09-9-2007, 01:08 PM	#44
perkeyone FFR Player Join Date: Dec 2005 Age: 34 Posts: 240	Re: Major props to anyone who can solve this hmm it has to do with congruent sides i think... UY~YV UV~UW

09-9-2007, 01:16 PM	#45
Snowcrafta V's beta-male entourage Join Date: May 2005 Location: Boise, ID Age: 36 Posts: 2,873	Re: Major props to anyone who can solve this The degree is 15 __________________

09-9-2007, 01:20 PM	#46
makdaddy FFR Veteran Join Date: Mar 2003 Location: Raleigh NC Age: 32 Posts: 1,688	Re: Major props to anyone who can solve this lolz

09-9-2007, 05:06 PM	#48
madmatt621 Banned Join Date: Dec 2006 Location: 29°34′7″N, 95°1′21″W Age: 35 Posts: 3,000	Re: Major props to anyone who can solve this Do I need to solve it with Paint or can I solve it on graph paper on my desk then take a picture of it?

09-9-2007, 05:53 PM	#49
MRichards FFR Player Join Date: May 2006 Posts: 91	Re: Major props to anyone who can solve this Perhaps these similar triangles are what you're after - simpler and provable without a calculator, though I still used a fair bit of working to prove the side ratios (omitted, tell me if you really want to see it). There is also a very nice method of dividing the triangle into 3 similar regular trapezoids, but it also gets ugly at the end. I suspect there might be a further little trick involved to reduce the working - the kind that gets mathematicians all wet around the cosines... Frankly, I still quite like my first sledgehammer approach. perkeyone: I use Microsoft Visio for the drawings __________________

09-9-2007, 07:47 PM	#50
perkeyone FFR Player Join Date: Dec 2005 Age: 34 Posts: 240	Re: Major props to anyone who can solve this hey there are 1001 ways to solve this thing so why dont u let us know what way u did it, i am curious to know

09-9-2007, 08:09 PM	#51
Doug31 Falcon Paaaauuuunch!!!!!! Join Date: Jun 2004 Location: Washington Age: 36 Posts: 6,811	Re: Major props to anyone who can solve this Here's what I came up with: __________________

09-10-2007, 09:09 AM	#53
MRichards FFR Player Join Date: May 2006 Posts: 91	Re: Major props to anyone who can solve this Here's my full working. Involves some trig, but with no evaluation - so it's utterly rigorous. There may be a cheeky way to show it more simply, but this'll do. __________________ Last edited by MRichards; 09-10-2007 at 09:42 AM..

09-10-2007, 09:42 AM	#56
MRichards FFR Player Join Date: May 2006 Posts: 91	Re: Major props to anyone who can solve this What is the method that requires no trig? __________________

09-10-2007, 09:47 AM	#57
windsurfer-sp FFR Veteran Join Date: Apr 2005 Location: Aussie (Oi Oi Oi) Age: 33 Posts: 1,974	Re: Major props to anyone who can solve this MRichards seems to be FFR's numbers man. I remember his awsome speed mod FFR to Stepmania comparison. I guess Mrubix is numbertacluar as well. My high school education understands this sort of but I cant do it on my own or from scratch. __________________ Orbb fan club. White text society.

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