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
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I wonder this: if you increase the length of the side, can you predict how much the hypotenuse will increase by? Does it matter what the initial length is? What questions do you have about this investigation?
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