w=700" class="alignnone size-full wp-image-14212" src="https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=700" alt="Amazing Places on Earth" srcset="https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=700 700w, https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=1400 1400w, https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=150 150w, https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=300 300w, https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=768 768w, https://bookofresearch.files.wordpress.com/2016/02/amazing-places-on-earth1.png? w=1024 1024w" sizes="(max-width: 700px) 100vw, 700px" / Some of the most amazing places on earth you may not have heard about, like the Danxia Rainbow Mountains, The Fly Ranch Geyser, Pamukkale’s Hot Springs, The Decorated Mud Houses of Tiébélé, Burkina Faso, The Giant Pink Milkshake looking Lake Retba, The Maori Carvings of Lake Taupo, The Plastic Bottle Houses in Nigeria, The Kamchatka Peninsula Ice Cave, The Skeleton Lake of Roopkund, The Garden of The Gods, The Frozen Air Bubbles in Abraham Lake, The Fairy Chimneys of Cappadocia, etc … These phenomena can be observed in several places in China.

The colourful rock formations at the Zhangye Danxia Landform Geological Park in Gansu Province.

In any event, the proof attributed to him is very simple, and is called a proof by rearrangement.

A triangle is constructed that has half the area of the left rectangle.

Then another triangle is constructed that has half the area of the square on the left-most side.

This proof is based on the proportionality of the sides of two similar triangles, that is, upon the fact that the ratio of any two corresponding sides of similar triangles is the same regardless of the size of the triangles.

Let ABC represent a right triangle, with the right angle located at C, as shown on the figure.

This is a unique geological phenomenon known as Danxia landform or Rainbow Mountains.

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.The theorem has been given numerous proofs – possibly the most for any mathematical theorem.They are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": Mesopotamian, Indian and Chinese mathematicians all discovered the theorem independently and, in some cases, provided proofs for special cases.These two triangles are shown to be congruent, proving this square has the same area as the left rectangle.

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