After figuring how to plant your 10 trees in 5 rows, the tree keeper walks up to you.

I like your idea, but sometimes I get vicious squirrels that come and steal all the fruit off it...

I am installing some garden path such that it is harmless to humans but will shock squirrels. (This means the squirrels won't pass over it.) Can you place those 10 trees along 5 lines of straight garden path so that there are 4 trees on each garden path and there are some trees on the inside?

How would you arrange the trees this time?

i may have a solution. b4 i tell ill give u the overall shape.. its arrowhead like. now fr the really bad description of it. Ok. First, make an equilateral triangle (lets say triangle ABC) on ur paper extend AC a little more and end the line segment with point D (now you should a line segment AD). now add a point E on line AC, so that AE is about 1/3 of AC and CE is about 2/3 of AC. Now, add 2 points, point F and G, on line AB so that point F is closer to A and point G is closer to B line segments AF, FG, and BG are about equal (thus, each line segment shud be about 1/3 of the line) Now make a line from point F to point D. Next, make another line from point B to point E. Now, make another line from point C to point G. If done correctly, you should now have 3 points of intersection inside the original equilateral triangle (do NOT count any points of intersection you have made that intersected the base of the triangle, BC. there should be only one of these). Darken these points and any points I talked about above (points a-g). Then erase line BC, because this is not needed. Now, you should have 5 rows of 4 using 10 trees, and u have one of the points surrounded by the others, in the shape of an arrowhead.
Sorry if these directions are a lil confusing but thats what you should get.

Edited on October 30, 2003, 8:08 pm

Posted by Victor Zapana on 2003-10-30 20:07:28