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18.03.2021 •
Mathematics
The Growing Circles
Case 1 Case 2 Case 3
1. Examine the 3 cases carefully. What do you notice about the number of circles in each
case?
2. What would the 4th case look like in terms of numbers? Justify your answer in words
supported by a representation
3. If you notice a pattern, explain how you arrived at this conclusion?
4. If you did not notice a pattern yet, predict the number of circles in the 5th case and then
answer question 3. Repeat question 4 for further cases until you are able to see a pattern 5.
What would a general expression of this pattern look like? Express the pattern for the
#
? "case
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Ответ:
Pythagorean Theorem can be used only for right triangles.
(leg1)² +(leg2)² = hypotenuse ²
So, answer is the right triangle B.