FINALLY!!

Threw out this whole investigation I had alot of questions and I figuered out many things. For an example What happens to the triangle if I change the length of side "a"? What happens to the triangle if I decrease the length of the base? and ect.

For all my posts my main question was..."If you take a right triangles, and change one side length, how does that change the other side legnths?How does that change the angles of the triangle?" All my posts basically started off with this mai question. From this question I basically collected that no matter how much I change the side lengths of each side of the sides on a right triangle, that the triangle will be affected some how.

I noticed many patterns as you can see on my first, second, and third posts. On my fourth posts it was just basically questions I had in mind and I just investigated them.

One thing I havent really focused on, on my posts is What happens to the angles on the triangles when I change the side lengths of each side? I havnt at all talked about angles threw out the blog.

For my next investigation I will focus on this question: If the hypotenuse gets larger than what happens to all the angles on the triangles?

Some questions about right triangles

Questions: What happens if the hypotenuse shirinks or lengthens in a right triangle?

1. Well if I shirnk the hypotenuse the triangle will no longer by a right triangle. The triangle will be acute. But if the hypotenuse lengthens then the triangle will be an obtuse triangle.

What will happen if the base side is zero?

2. If the base side hits zero then the triangle won't be a triangel anymore. It will just because staright line becase there isn't a base. Therefore it isn't a triangles.

******If you got any more questions for me. COMMENT ME!******

But, If I double the length of side "A" than does the hypotenuse also double?

hypothesis: My hypothesis is that if I double the length of side "a" the hypotenuse will also be doubled. But what matters is the intial length of the hypotenuse because it will show how much the hypotenuse increased, for instinced if it increased double it's size, in this case. Therefore side "a" is going to have to double it's size with the hypotenuse, since a triangle is a closed figure.

Investigation: I used the same website as the last blog I did. What I didn't relize before is that the length of the hypotenuse also relays on the length of the base side (side "B" from my first blog). On the website I changed the length of side "A" to 5cm and the hypotenuse was 18.68cm. After I doubled the length of side "a" to 10cm and the hypotenuse became 20.59. I also realized that the hypotenuse increased by 2cm.

Questions: What happens if I decrease the length of the hypotenuse, will the lowest length be zero? ? What happens if I tripple the length of side "A", does the length of the hypotenuse increase by 3cm? I wonder if there is a pattern to ir?

Answers:
1.If i decrease the length of the hypotenuse the lowest the it could go is the length of side "a", so if side "a" is 5cm than the lowest the hypotenuse could be is 5cm. The reason is because for the hypotenuse the base is side "a" and there for what ever the length for side "a" is that's the lowest the hypotenuse can go.

2. If I tripple the length of side"a" from 5cm to 15cm. At 5cm the length of the hypotenuse is 20.59. Then when I changed it to 15cm the hypotenuse became 23.58. Therefore there is no pattern.

(reminder: when I say side "A", "b", "c" I am referring to my picture diagram on my first blog)

I asked my self. If I change the length of side "a" then what happens to the hypotenuse?

Hypothesis: I think that if side length of "a' gets longer, than the length of the hypotenuse will also get longer. The reason I think so is because the first end of the hypotenuse has to line up with the the first end of side "a". But that can't happen if the length of side "a" is longer than the first end of the hypotenuse. I think its time to investigate!

Invstigation: I did my investigation on a link on my teacher's blog. The website I chose to investigate had two right triangles. I was able to change each and every side and angle on the triangles. To research my investigation I decided to change the length of side "a" longer. It was originally 24cm and the hypotenuse was 30cm. I increased the length of side "a" by 6 cm and it became 40cm. As soon as I started changing the length of that side the hypotenuse atomaatically increased, too. I changed by 13.9cm, therefore its now 43.9cm.

Conclusion: If you hadn't noticed the longer side length "a" becomes the longer the hypotenuse becomes, too. I realized that side "a" can't get longer only by on side. THANK YOU!

I used this website for my investigation: http://www.members.shaw.ca/ron.blond/SimilarTriangles.APPLET/index.html

If you take a right triangles, and change one side length, how does that change the other side lenths?How does that change the angles of the triangle?

hypothesis: If I change the lenghts of 1 side, then the lenghth of the other sides are going to have to change also to have the correct amount of angels and the correct amount of degrees.


Investigation: When I change the length of on side on a triangles than the entire triangle is going have to change. As in it becomes either big, small, wide or long. Then the triangle has to be fixed to a right triangle, unless its already in a right thriangle. Also the angels of the triangle becomes smaller or larger, but it has to follow the pythagorean therom patterns.


On a triangle website my teacher gave me there was an equalateral triangle. First I adusted it to a right triangle. Then I took side length "a" and made it shorter by half it's size. As I made the triangle shorter, the triangle got wider. I think it's becuase the I didn't change the rest of side lengths. Therefore sides "b" and "c" adjusted to the new size of "a".


DATA...


The original lenths:
The length of side a: 3cm
The length of side b: 2cm
The length of side c: 5cm


The NEW lengths:
The lengths of side a: 5cm
side b and c is the same

(Sorry if the triangle isn't perfect)

I changed the length of side a, Originally It was 3cm now its 5cm. I discovered that if I made the length of a longer than the right triangle will get taller.


Conclusion: As you can see, No matter which side is changed in a shorter or taller way, its still going to stay as a right triangle. The only thing thats going to make the triangle look different is that is either going to be tall and skinny or short and wide. Thank you! =)