Final Geometry Blog

As you may know that in my Geometry class I investigated the question, "If you know the lengths of a right triangle can you predict the angle measurements?" In my last blog entry I wrote the conclusion to my information. Now, I would like to answer the questions that people have been asking me based on this topic.


Q1."Where did you get your information from and what do you mean by the angle measurements are in chronological order?"
A1. For blogs 1-2 I used this website, http://www.slu.edu/classes/maymk/SketchpadApplets/TriangleSideLength.html.
Unfortuanately, this website didn't specify the information that was needed to lead me to my conclusion. So, I used the website, http://www.saltire.com/applets/triangles/tri2sia.htm for my last blog.

Q2."What do you mean when you say in chronological order?"
A2. This means that it's in order from least to greatest.

Q3."Did you ever have to use any triples(45-45-90) in your investigation"
I didn't have to use triples because they already showed the angle measurements. My question asked could I predict the angle measurements.

In conclusion I have many patterns and have come to the end of my investigation.

Side 1	Hypotenuse	Side 2	Angle B	Angle A	Angle C
1	2	2	90	27	63
2	3	3	90	18	72
3	4	4	90	14	76
4	5	5	90	11	79
5	6	6	90	9	81
6	7	7	90	8	82
7	8	8	90	7	83
8	9	9	90	6	84
9	10	10	90	6	84
10	11	11	90	5	85

This table has brought me to this pattern. If side 2 is +1 of side 1 and it's a right triangle, then the angle that is above the right angle will be the smallest of the 2. And the angle on the same side is the biggest of the 2. Unfortuanately, it's not possible to get an exact number. This information has brought me to a new question. "`If the repeated angle measurement were to change would everything else change or stay the same?"

Geometry Blog 3

For geometry I investigated the question, " If you know the sidelengths of a right triangle can you predict the angle measurements"In the beginning I believed that you could only know the size of theangles not the exact measurement. But, I later found that you couldpredict the measurements of the angles. However, it depends on howyour information is set up. This table is what I used to gather myinformation.

Side 1	Hypotenuse	Side 2	Angle B	Angle A	Angle C
1	2	2	90	27	63
2	3	3	90	18	72
3	4	4	90	14	76
4	5	5	90	11	79
5	6	6	90	9	81
6	7	7	90	8	82
7	8	8	90	7	83
8	9	9	90	6	84
9	10	10	90	6	84
10	11	11	90	5	85

Based off of this I shall conclude by saying this last statement. If you know the side lengths of a right triangle you can predict the angle measurements depending on how you gather your information. For example: If I know the side lengths are 1,2 and 2.236067977499789 in a fright triangle then i predict that the angle measurements will be 90, 26 and 64. This is known because the side measurements are in chronological order. And this is the pattern that I have found.

Geometry Blog 2

1	2.236067977499789	2	90	26.56505117707799	63.43494882292201
2	3.1622776601683777	3	90	18.434948822922017	71.56505117707802
3	4.123105625617659	4	90	14.036243467926484	75.96375653207355
4	5.099019513592783	5	90	11.309932474020227	78.6900675297981
5	6.082762530298218	6	90	9.462322208025613	80.53767779197437
6	7.071067811865473	7	90	8.130102354156005	81.869897645844
7	8.062257748298547	8	90	7.125016348901757	82.87498365109819
8	9.055385138137414	9	90	6.340191745909908	83.6598082540901
9	10.049875621120886	10	90	5.710593137499633	84.28940686250034
10	11.045361017187258	11	90	5.1944289077347285	84.8055710922652

This table here as helped me with my investigation of the question, "If you know the side lengths of a right triangle, can you predict what the angles will be?" From this table I have found out that the hypotenuse/Side BC is always a little bit more than Side AB. And Angle C always increases or decreases also depending on the length of Side AB.
On the other hand, it depends on the way that you collect your information. For example, I put sides AB, and AC are in chronoligical order. Which may decide the pattern you find.

Geometry Blog1

"Hello. This blog is for a project in my geometry class called, The Triangle Blog project. We have to do a series of investigations about right triangles and the Pythagorean Theorem(a2+b2=c2)and blog our results here."-PKOW!ian



The question that I am investigating is:

"If you know the side lengths of a right triangle, can you predict what the angles will be?"

We(in geometry class) have been investigating this question for the past 2 or 3 days and the steps we/I have followed consist of many different websites. However, the specific website that I used was<http://www.members.shaw.ca/ron.blond/SimilarTriangles.APPLET/index.html>


This helped me with my pre-conclusion. I believe that you may be able to find out the range of the angles and how to put them in chronological order. However, I don't think that it's possible to find the exact measure of the unknown angles within a right triangle.