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The figures below show two different ways of arranging four identical triangles of grey poster board on top of a white square. The square has sides equal to x + y, while the hypotenuse of each triangle is represented by the variable c.
 one year ago
 one year ago
The figures below show two different ways of arranging four identical triangles of grey poster board on top of a white square. The square has sides equal to x + y, while the hypotenuse of each triangle is represented by the variable c.
 one year ago
 one year ago

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Tati_LeeBest ResponseYou've already chosen the best response.0
Hazel wrote the following statements to prove that c2 = x2 + y2. 1. Area of the four grey triangles inside figure A = A equals four times the quantity onehalf times x times y, which equals 2 times x times y. 2. Area of the white square inside figure A = c2 3. Area of figure A = c2 + 2xy 4. Area of the four grey triangles inside figure B = A equals four times the quantity onehalf times x times y, which equals 2 times x times y. 5. Area of the two white squares inside figure B = x2+ y2 6. Area of figure B = 2x2+ 2y2 + 2xy 7. Area of figure A = area of Figure B, hence c2 + 2xy = 2x2+ 2y2 + 2xy 8. Therefore, c2 = x2+ y2 Which is the first incorrect statement in Hazel’s proof? Statement 7 Statement 4 Statement 5 Statement 6
 one year ago
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