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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
 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
 one year ago
 one year ago

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BIGDOG96Best ResponseYou've already chosen the best response.0
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, 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? (4), (1), (2), (3) (4), (2), (1), (3) (4), (2), (3), (1) (4), (1), (3), (2)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
it CANNOT start with (4)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
makes no sense to me , check ur options once
 one year ago

BIGDOG96Best ResponseYou've already chosen the best response.0
That's all the choices I have
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
oops pls disregard... it does start with (4)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
we have base of triangle = b height = a so we can find area of triangle, and since all four triangles are congruent, we can find area of all 4 triangles by multiplying (1/2)ab by 4 (1/2)ab * 4 = 2ab (4),... next what
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
we can find the side of innersquare
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
its (ab) next, area of square (ab)^2 next.. ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
second statement would be length of square, right ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
lol, see the diagram, we can find length of side of square, by subtracting b from a length = (ab)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
so, (2) is the correct one in the sequence
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
once we knw length of side of a square, cant we find its area ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1347544885906:dw
 one year ago
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