Question

If anyone is really good with proofs please let me know. I have a couple questions concerning proofs and I don't understand them at all.

Answer 1

well, if you can show me, i'd be willing to try...

Answer 2

Ask it.

Answer 3

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 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 + b2.

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?

Answer 4

If you need the picture, I can link that too.

Answer 5

I figure the most logical order would be (1),(2),(4),(3)

Answer 6

Show diagrams.