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Qwerty90
 3 years ago
When written in the correct order, the sentences below create a paragraph proof of the Pythagorean Theorem using the diagram.
Let a represent the height and b represent the base of each triangle.
The area of one triangle is represented by the expression 1/2 ab.
(1) The area of the interior square is (a – b)2.
(2) The length of a side of the interior square is (a – b).
(3) By distribution, the area is a2 – 2ab + b2.
(4) The area of all four triangles will be represented by 4 •1/2 ab or 2ab.
The area of the exterior square is found by squaring side c, which is c2, or by adding the areas of the four interior triangles and interior square, 2ab + a2 – 2ab + b2.
Therefore, c2 = 2ab + a2 – 2ab + b2.
Through addition, c2 = a2 + b2.
Which is the most logical order of statements (1), (2), (3), and (4) to complete the proof?
Answer
(4), (1), (3), (2)
(4), (2), (1), (3)
(4), (2), (3), (1)
(4), (1), (2), (3)
Qwerty90
 3 years ago
When written in the correct order, the sentences below create a paragraph proof of the Pythagorean Theorem using the diagram. Let a represent the height and b represent the base of each triangle. The area of one triangle is represented by the expression 1/2 ab. (1) The area of the interior square is (a – b)2. (2) The length of a side of the interior square is (a – b). (3) By distribution, the area is a2 – 2ab + b2. (4) The area of all four triangles will be represented by 4 •1/2 ab or 2ab. The area of the exterior square is found by squaring side c, which is c2, or by adding the areas of the four interior triangles and interior square, 2ab + a2 – 2ab + b2. Therefore, c2 = 2ab + a2 – 2ab + b2. Through addition, c2 = a2 + b2. Which is the most logical order of statements (1), (2), (3), and (4) to complete the proof? Answer (4), (1), (3), (2) (4), (2), (1), (3) (4), (2), (3), (1) (4), (1), (2), (3)

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Qwerty90
 3 years ago
Best ResponseYou've already chosen the best response.0The area of the exterior square is found by squaring side c, which is c2, or by adding the areas of the four interior triangles and interior square, 2ab + a2 – 2ab + b2. Therefore, c2 = 2ab + a2 – 2ab + b2. Through addition, c2 = a2 + b2. Which is the most logical order of statements (1), (2), (3), and (4) to complete the proof?

thismanhere
 3 years ago
Best ResponseYou've already chosen the best response.0Did you get this one?

Kaylaaaaa_13
 2 years ago
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Yepitstrey
 2 years ago
Best ResponseYou've already chosen the best response.0is this Geometry A ?

Kaylaaaaa_13
 2 years ago
Best ResponseYou've already chosen the best response.0yes it is @Yepitstrey

Kaylaaaaa_13
 2 years ago
Best ResponseYou've already chosen the best response.0@GirlThatNeedsHomeworkHelp @e.mccormick @thomaster @n14r96 someone

Yepitstrey
 2 years ago
Best ResponseYou've already chosen the best response.0sorry had to do it lol
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