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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)
 one year ago
 one year 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)
 one year ago
 one year ago

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Qwerty90Best ResponseYou've already chosen the best response.0
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

thismanhereBest ResponseYou've already chosen the best response.0
Did you get this one?
 one year ago

Kaylaaaaa_13Best ResponseYou've already chosen the best response.0
Can Someone Explain This To Me?!?!?! @Ryaan @ganeshie8 @Yepitstrey @Isabella1220 @Luigi0210 @onedirection822 @proverbsm @AccidentalAiChan @Asuna_Yuuki
 7 months ago

YepitstreyBest ResponseYou've already chosen the best response.0
is this Geometry A ?
 7 months ago

Kaylaaaaa_13Best ResponseYou've already chosen the best response.0
yes it is @Yepitstrey
 7 months ago

Kaylaaaaa_13Best ResponseYou've already chosen the best response.0
@GirlThatNeedsHomeworkHelp @e.mccormick @thomaster @n14r96 someone
 7 months ago

YepitstreyBest ResponseYou've already chosen the best response.0
sorry had to do it lol
 7 months ago
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