English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

how can you create 5 triangles with the letter H and 2 lines.Important thing is that the triangles must be interdependent.I mean it is not allowed two have inside a triangle another triangle.

2006-11-28 09:31:47 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

Draw lines from the top of the vertical lines in the H to the opposite lower corners. There you go.

In response to the comment below:
BTW
I guess the middle line of the H would have to be not directly centered between the lines. It has to be a little highter or lower so the 2 lines do not intersect on the center line. Then you come out with 5 individual triangles and not triangles within triangles.

2006-11-28 09:36:00 · answer #1 · answered by ak_man33 3 · 0 0

The first supposed way doesn't work; it only gives 4 "independent" triangles, as defined in the problem. (It would be 6 if you were allowed to count the two isosceles triangles separately formed by the left-hand or right-hand pairs; but that is ruled out in the setting of the problem.)

5 (and just 5) would be very intriguing; I have my doubts it can be done, however.

P.S. You're NOT allowed to count the line the "H" is standing on, but if for the sake of argument you were to do so, it's trivial. Join each vertex to the midpoint of the opposite vertical (where the horizontal stroke hits it), and extend to the line the "H" stands on. That gives you two triangles, one on either side of the "H", and three in the upper part of it. (But if this IS your answer, it violates the spirit of the question.)

Similarly, re. ak_man33's added comment "BTW": That also violates the spirit of the question. Just look at the "H" set in the original question, the text below it, and indeed in ak_man33's original "answer." In ALL of these, the horizontal bar of the "H" appears to be exactly in the center, height-wise. It's not really kosher to say "Ah, but what if we start with a different form of "H" than that exhibited in the statement of the problem?"

2006-11-28 09:48:14 · answer #2 · answered by Dr Spock 6 · 0 1

ak - Doing that would give 6 triangles, 2 small ones on either sides, 2 large ones (1 on each side).. Make 5 get 1 free I guess :-D

2006-11-28 09:43:09 · answer #3 · answered by Sayee 4 · 0 1

fedest.com, questions and answers