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)
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It sounds like you have had some fruitful investigations. I like that you form a hypothesis and test it. What original questions about right triangles are you going to investigate next?
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