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Sunshine447
 2 years ago
Given:
Square with side c.
All four interior triangles are right triangles.
All four interior triangles are congruent.
The interior quadrilateral is a square.
Prove:
a2 + b2 = c2
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 One halfab.
(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,
Sunshine447
 2 years ago
Given: Square with side c. All four interior triangles are right triangles. All four interior triangles are congruent. The interior quadrilateral is a square. Prove: a2 + b2 = c2 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 One halfab. (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,

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Sunshine447
 2 years ago
Best ResponseYou've already chosen the best response.0(3) By distribution, the area is a2 – 2ab + b2. (4) The area of all four triangles will be represented by 4 • One half 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?

Sunshine447
 2 years ago
Best ResponseYou've already chosen the best response.0a. (4), (1), (2), (3) b. (4), (2), (1), (3) c. (4), (2), (3), (1) d. (4), (1), (3), (2)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0well, i know that 1 leads to 3, which narrows it down to b or d for me

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0and 2 would come before 1 and 3 is what my gut says, but i aint too uptodate with paragraph geometry proofs

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0yes i would say its 2,1,3,4

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0that confuses me  the final conclusion is in 4 so how can it be first?
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