Hello again I am here to talk about a recent question I have made up. As you know some times with similar triangles the smaller triangle is sometimes half of the other triangle. So to relate to that my question would be: if you know the side lengths of the smaller triangle then do you know the side lengths of the the bigger triangle? I have been doing some investigating on the following site.http://www.members.shaw.ca/ron.blond/SimilarTriangles.APPLET/index.html. i have made a easy discovery.
i have found out that this question is easier than it sounds. i have found the following information on what the side lengths would be if the side lengths of the smaller triangle were:
3,4,5
6,8,10
9,12,15
12,16,20
5,12,13
10,24,26
7,24,25
8,15,17
16,30,34
The side lengths of the bigger triangle are:
6,8,10
12,14,20
18,24,30
24,32,40
10,24,26
20,48,52
14,48,50
16,30,34
32,60,34
As you can see the bigger triangle is double the side lengths of the smaller triangle.
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Okay, so you found a nice pattern here. What is next? Will you keep looking at these triangles? Will you consider side lengths? What about angles?
ReplyDeleteGood job finding this pattern. Does this work on all right triangle (including ones with decimal side lengths, or does it only apply to Pythagorean triples? Also, by "bigger triangle," do you mean similar, or do you mean bigger in area? I think this will apply for any two similar figures.
ReplyDeleteThat's a nice patter you found there man. I am wondering one thing that I couldn't identify in your table. What is the pattern in it all. What is happening really. By how much does it increase or decrease during the pattern. That info can be useful if someone else wants to find the pattern that you also found. For which triangles does this apply to? Right Angle only or multiple ones like Scalene or Acute or Obtuse angle triangles?
ReplyDeleteFirst I would like to start off with is that is a very nice question. As I heard the question it seemed very difficult but when I look at the data and the ideas on that question its seems that there is a simple explanation. I like the way you answered your question.
ReplyDeletecool pattern. but it got a little confusing near the end of the blog. it was interesting what you found. what else have you found?
ReplyDeleteyo d i like your question. i like your answer, but try to make your paregraph longer. give all the detail you could put on because this project is reflectingand talking bout what you did. also i realy like the pattern you found and how you posted the data and explained it after.
ReplyDelete