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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,
 one year ago
 one year 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,
 one year ago
 one year ago

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Sunshine447Best 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?
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
a. (4), (1), (2), (3) b. (4), (2), (1), (3) c. (4), (2), (3), (1) d. (4), (1), (3), (2)
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
well, i know that 1 leads to 3, which narrows it down to b or d for me
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
and 2 would come before 1 and 3 is what my gut says, but i aint too uptodate with paragraph geometry proofs
 one year ago

cwrw238Best ResponseYou've already chosen the best response.0
yes i would say its 2,1,3,4
 one year ago

cwrw238Best ResponseYou've already chosen the best response.0
that confuses me  the final conclusion is in 4 so how can it be first?
 one year ago
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