Pythagoras, with alternative proofs from lots of others.
For a number of proofs see: http://www.cut-the-knot.org/pythagoras/ Proof 6 seems to be the most straightforward.
TAN on your calculator means TANGENT. In Pythagoras Theorem. Try googling about Pythagoras Theorem and it will answer your questions. Hope this helps.
Pythagoras was called "Pythagoras of Samos" because he was born in Samos.
archeology, building, stuff like that
There are over 100 of them. They can be found at //www.cut-the-knot.org/pythagoras/
Pythagoras, with alternative proofs from lots of others.
Pythagoras was a Greek from Samos and he was likely a follower of the Greek pantheon of gods. Many Muslims would later use his geometric proofs as a basis for more complicated math such as trigonometry or algebra, but he was not a Muslim.
For a number of proofs see: http://www.cut-the-knot.org/pythagoras/ Proof 6 seems to be the most straightforward.
Pythagoras' theorem is applicable to right angle triangles
Geometric proofs help you in later math, and they help you understand the theorems and how to use them, they are actually very effective.
Loomis was an American teacher and is famous for publishing, in 1940, a book entitled "The Pythagorean Proposition" which contained 370 different proofs of Pythagoras's theorem. The proofs are not his but from mathematicians over the centuries. The book contains a proof by Euclid, by the Indian mathematician, Bhaskara, by ancient Chinese, as well as by more modern mathematicians such as Legendre, Leibniz, and Huygens and by a former president of the United States, James Garfield. There are also several proofs discovered by high school students.
Analytic typically refers to a utilization of the coordinate plane. These proofs contain variable coordinates, such as (a,2b), and rely heavily on algebraic properties and formulas. Synthetic proofs refer to the use of geometric properties and postulates, such as the Alternate Interior Angles Theorem, or the Partition Postulate. Vector proofs are proofs that use vector addition, subtraction, and scalar multiplication to prove a hypothesis.
Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.
Geometry
Yes
Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)