Question

1. In the diagram below, all four right triangles are congruent and the interior quadrilateral is a square.



When written in the correct order, the paragraph below proves 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 ab.

(1) The length of a side of the interior square is (a – b).

(2) The area of all four triangles will be represented by 4 • ab or 2ab.

(3) The area of the interior square is (a – b)2.

(4) By distribution, the area is a2 – 2ab +

Answer 1

This is the image

Answer 2

@ajprincess You wouldn't know how to help me with this, would you?

Answer 3

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), (4) to complete the proof? (3 points)
(1), (2), (3), (4)
(1), (2), (4), (3)
(2), (1), (3), (4)
(2), (1), (4), (3)

Answer 4

That's the rest of it

Answer 5

hav u the correct answer?

Answer 6

I'm not sure what the answer is. I was thinking maybe C, but I don't really know.

Answer 7

http://www.cut-the-knot.org/pythagoras/index.shtml

Answer 8

That definitely helps a lot, but I'm afraid some of those concepts are slightly more advanced than what I'm doing. But thanks! I do understand it better.

Answer 9

i think vat u need is here in this part.

Answer 10

I think option c is reasonable.

Answer 11

From what I'm reading, it seems as if the answer would be (1) (3) (2) (4), but that is not one of the choices.

Answer 12

ya. I too thought of it. Bt since u dnt have that option I think u can go for option c.