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.