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BIGDOG96
 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
BIGDOG96
 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

This Question is Closed

BIGDOG96
 2 years ago
Best ResponseYou've already chosen the best response.0When 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)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1it CANNOT start with (4)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1makes no sense to me , check ur options once

BIGDOG96
 2 years ago
Best ResponseYou've already chosen the best response.0That's all the choices I have

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1oops pls disregard... it does start with (4)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1we 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

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1we can find the side of innersquare

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1its (ab) next, area of square (ab)^2 next.. ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1second statement would be length of square, right ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1lol, see the diagram, we can find length of side of square, by subtracting b from a length = (ab)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1so, (2) is the correct one in the sequence

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1once we knw length of side of a square, cant we find its area ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1347544885906:dw
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