The questions I have been investigating are I was researching are their any other angle combination's that show similar patters such as 30-60-90, 45-45-90? I have tried an angle combination which consist of 10 - 80 - 90. I have realized that this combination is not true because my data states that the hypotenus and long leg of the triangle are the same length. I know for a fact it is not true because the hypotenus is always the biggest side, no matter what the angle is. My suggestion for my next investigation is to remember the triangle formulas and the rule that carries with all the triangles.
My recent question that I have been trying to solve has not been solved yet. my question was, If you know the side lengths of a right triangle, can you predict what the angles will be? I dont know weather you could determine the angle if you only have the side legths. I know theirs a way but I dont know wat that way is.
Wednesday, April 8, 2009
Sunday, April 5, 2009
How To Find the Angles of A Triangle When Only Given the Side's?
As I had said earlier, I am investigating If you know the side lengths of a right triangle, can you predict what the angles will be?
Through my data that I had collected, it seems that with the given sides I recieved they all form the same right triangle. I think this is true because these number are all multiples of each other.
I am still investigating this qusetion because their is a way to get the angles if you are only given the sides. This question is important because it can end up in a standarized state test and i want the people to know how to solve this problem.
Through my data that I had collected, it seems that with the given sides I recieved they all form the same right triangle. I think this is true because these number are all multiples of each other.
| Side AC | Side AB | Angle BAC | Side BC | Angle ABC | |
| 4 | 3 | 90° | 5 | 53.13° | 36.86° |
| 8 | 6 | 90° | 10 | 53.13° | 36.86° |
| 12 | 9 | 90° | 15 | 53.13° | 36.86° |
| 16 | 12 | 90° | 20 | 53.13° | 36.86° |
I am still investigating this qusetion because their is a way to get the angles if you are only given the sides. This question is important because it can end up in a standarized state test and i want the people to know how to solve this problem.
Friday, April 3, 2009
Side Combinations
Today I was researching are their any other angle combination's that show similar patters such as 30-60-90, 45-45-90?
Not only are angles important, but so are side combination's. An example of these side combination's are 3 - 4 - 5 right triangles. This is important because all of the sides are whole numbers. Also, the multiples of these numbers form right triangles with the same angles.
3^2 + 4^2=5^2 6^2 + 8^2 = 10^2
9 + 16 = 25 36 + 64 = 100
25 = 25 100 = 100
5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
To follow through with my investigation, I will next investigate If you know the side lengths of a right triangle, can you predict what the angles will be?
Not only are angles important, but so are side combination's. An example of these side combination's are 3 - 4 - 5 right triangles. This is important because all of the sides are whole numbers. Also, the multiples of these numbers form right triangles with the same angles.
3^2 + 4^2=5^2 6^2 + 8^2 = 10^2
9 + 16 = 25 36 + 64 = 100
25 = 25 100 = 100
5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
To follow through with my investigation, I will next investigate If you know the side lengths of a right triangle, can you predict what the angles will be?
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