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?"