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A cute little angle to find (Posted on 2006-01-18) Difficulty: 4 of 5
In triangle ABC with:
BC = 1;
angle B=45 degrees;
D is on AB such that DC =1;
E and H are on segment AC and EH = 1;
F is on segment AD such that EF=.5;
G is on segment CD;
EFGH is a rectangle.

Find angle A

See The Solution Submitted by Jer    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Source of this problem | Comment 4 of 7 |

http://www.stetson.edu/%7Eefriedma/mathmagic/1105/p1-4p.gif

http://www.stetson.edu/%7Eefriedma/mathmagic/1105.html

It appears to take 48 squares to have each touching exactly 4 others at one point.

I wondered why less than 48 could not be arranged this way.  The solution to this problem (the radial angle is what this problem finds the upper limit of)

 

 


  Posted by Jer on 2006-01-19 07:39:25
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