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How was the pythagorean theorem discovered?
The Persians discovered the theory long before Pythagoras, but Pythagoras made it well known and proved it many times. He got the idea from the Egyptian rope-stretchers, of which you can ask another question for them.
How do you find a pythagorean triple?
There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.
Which set of numbers could be the lengths of the sides of the right triangles?
There are infinitely many triplets, and in general, they do not have a name. If all three are integers, then they are known as Pythagorean triplets.
What is the best geometry math project for grade 9?
You could show the pythogorean theorem. Use triangles and squares and prove it. You could also show its many uses...hope it helped
How many vertices has a triangular based pyramid?
A triangular based pyramid has 4 vertices.
What is a theme for a math project?
You could use the Pythagorean Theorem and many triangles You could use the Pythagorean Theorem and many triangles
How many different ways are there to solve the Pythagorean theorem?
a2 + b2 = c2
Did anyone oppose to the pythgreom theorm?
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
How many Pythagorean theorem proofs are there?
I'm not very sure but I know there is over 300.
How can you work out pythagorass theorem?
There are a great number of different proofs of the Pythagorean Theorem. Unfortunately, many of them require diagrams which are hard to reproduce here. Check out the link to Wikipedia's page on the theorem for several different proofs.
How is the pythagorean theorem used in modern day times?
The Pythagorean theorem is used for many things today. For example, it can be used for building. Putting in flooring deals with squares and triangles using the Pythagorean Theorem. Some builders use this formula, because they can find the missing sides. The Pythagorean theorem plays an important role in mathematics, too. For example: -It is the basis of trigonometry -using the theorems arithmetic form, it connects algebra and geometry. -It is linked to fractal geometry His theorem is not only important in 2-D geometry, but also in 3-D geometry. Video games environments are drawn in 3-D using all triangles. i got this information from a website called: [See below for the related link to this website]. This website tells you all about how the Pythagorean theorem is used in modern day.
What is the proof of the Pythagorean Theorem?
Well, there are many, many proofs of the Pythagorean Theorem. Some sources have as many as 93 proofs. Here is my favorite, but others are listed in the math website in Related Links (below).This is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY, taken from the first website, proof # 21.The first proof I merely pass on from the excellent discussion in the Project Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².Related LinksA website with 93 proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/index.shtmlAn award-winning applet that demonstrates one of the most famous proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/morey.shtml
Use of phytagorean theorem in trigonometry and physics?
If you meant "Pythagorean Theorem" , the uses are almost infinite. It is associated with finding the length of the "hypotenuse" of any right-angled triangle, given that the other two sides are known. However, a modified version of the Pythagorean Theorem allows us to find the length of any one side of any triangle, given that we know the other two sides, and the angle between them. In physics, many calculations are based on the Pythagorean Theorem. For Example, The use of Trigonometric Parallax allows us to calculate the distance to relatively near stars.It involves the usage the Sun, Earth and the star in question as vertices of the right-angled triangle.
Which US President proved the Pythagorean theorem in a new way?
James A. Garfield, the twentieth president of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.
Who is father of trigonometry?
Trigonometry has been developed over centuries, and was not discovered per-se by any one person. One might say that Pythagoras is the father of trigonometry because the Pythagorean theorem is so central to trigonometric theory, but many cultures were aware of the Pythagorean theorem before Pythagoras was even born.
What is an Pythagorean theorem irrational number?
It need not be. There are infinitely many Pythagorean triangles whose sides are not only rational, but whole numbers. For example, (3, 4, 5), (5, 12, 13), (7, 24, 25).
Why are there so many ways to prove the pythagorean theorem?
Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.
