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Is pythagorean and Pythagoras are same?
Pythagoras was a person, pythagorean refers to his mathematical theories - principally his theorems about the measures of the sides of a right angled triangle.
Is pi and Pythagoras the same thing?
No, pi and Pythagoras are not the same thing. Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. Pythagoras, on the other hand, was an ancient Greek philosopher and mathematician known for the Pythagorean theorem, which relates the lengths of the sides of a right triangle. While both are fundamental concepts in mathematics, they refer to different ideas.
What is the largest Pythagorean Triple?
There is no largest Pythagorean triple since there's infinite amount of them. But if you're looking for one quite big, I took a few minutes for you and wrote a program that computes them (and btw is still computing them). Right now the largest one the function returned is 77893200, 128189952, 150000048. Note that you can multiply all three with any same natural number larger than one (2,3,4,...) and you'll get a Pythagorean triple larger than mine.
What is the magnitude of resultant in increasing angle between concurrent forces?
The magnitude of the resultant force in a system of concurrent forces changes as the angle between the forces increases. When two forces are at an angle of 0 degrees (acting in the same direction), the resultant is the sum of their magnitudes. As the angle increases to 90 degrees, the resultant reaches its maximum value based on the Pythagorean theorem. Beyond 90 degrees, the resultant decreases, ultimately reaching a minimum when the forces are in opposite directions (180 degrees), where the resultant is the difference of their magnitudes.
Why does sin theta squared plus cos theta squared equal 1?
Sin2(theta) + cos2(theta) = 1 for the same reason that the sides of a right triangle squared equal the hypotenuse squared - The pythagorean theorem.In the unit circle (origin = (0,0), radius = 1), an angle theta is the angle made by some arbitrary ray drawn from the origin at an angle relative to the x axis. The point of that ray that intersects with the circle is the point (x,y).Sin(theta) is defined as x, and cos(theta) is defined as y. These are primary trigonometric identities, which link trigonometry with geometry.Since the points (0,0) (x,0) (x,y) (0,x) describe a right triangle, with (0,x) (0,0) (x,0) being the right angle, then x2 + y2 = 12, or sin2(theta) + cos2(theta) = 1.If this is not clear, draw a circle around the origin, draw a line from the center to an arbitrary point on the circle, and draw the x and y perpendiculars of that point to each axis. You will see a right triangle. X is sine, Y is cosine, and 1 is hypotenuse. It does not matter if X and/or Y is negative - the squaring will make it positive - and the pythagorean theorem should be visible.
When did Greece invent the Pythagorean theorem?
The Pythagorean theorem was, oddly enough, first postulated by a Greek named Pythagoras of Samos, in the 6th century BC or so. It basically described the relationship among the three sides of a triangle and the areas of the same. There is some thought that Babylonian mathematicians well before the time of Pythagoras knew of the relationship, but he's the guy who got his name on the theorem.
Is pythagorean and Pythagoras are same?
Pythagoras was a person, pythagorean refers to his mathematical theories - principally his theorems about the measures of the sides of a right angled triangle.
What was stated in the gougu theorem?
The gougu theorem was the Chinese version of the Pythagorean theorem, they stated the same principle
What is Pythagoras's contribution to math?
The Pythagorean theorem, which states that the sum of the squares of each leg of a right triangle equals the square of the hypotenuse of the same triangle. (a^2) + (b^2) = (c^2).
How the Pythagoras theorem is used today?
The Pythagorean theorem is used today for the same thing it was invented for: to describe the relationship between the length of the three sides of a right triangle. Using the Pythagorean theorem, you can find the the length of the third side of a right triangle with two known lengths. This can be useful in a variety of math-based situations, such as when you need to determine the distance between two known points on a graph.
How are Pythagoras' theorem and Fermat's last theorem related?
Pythagoras' theorem proves that if you draw a square on the longest side (the hypotenuse) of a right-angled triangle, its area is the same as the areas of the squares drawn on the two shorter sides, added together. See 'Pythagoras' theorem' under 'Sources and related links' below.Pythagoras' theorem holds for any right-angled triangle. But of special interest to Fermat were right-angled triangles where all the three sides were whole number lengths. These special lengths are known as Pythagorean triples.Here are some Pythagorean triples:-(3,4,5) (5, 12, 13) (7, 24, 25) (8, 15, 17)In each case, the square of each of the smaller numbers is equal to the square of the largest number.Fermat said that if instead of constructing squares (two dimensional figures) on the sides of right-angled triangles, you constructed cubes (three dimensional analogs of squares), or hypercubes (four dimensional analogs) or higher dimensional cube-analogs, there are no equivalents to the Pythagorean triples. In other words, there are no whole number values for 3, 4 or more dimensional analogs of the square.
How is the Pythagorean Theorem and Distance Formula the same?
Because they both involve right angle triangles
What was the pythagorean theorem used for in 6th century?
Presumably for the same reasons that it is used in the 21st century.
Is the Pythagoras theorem the same thing as the golden ratio?
No, they are not the same, but relate to each other. The medial right triangle of this "golden" pyramid, demonstrated the Pythagorean theorem through the relationship of the two. Ancient Greek mathematicians first studied the golden ratio because of its frequent appearance in geometry. The division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons. The Greeks usually attributed discovery of this concept to Pythagoras.
What theorem will you use to find the diagonal of a 20M by 16Cm rectangle?
After converting all the measurements to the same units, you would use the Pythagoras Theorem.
Is the diagonal of a square the same as its side?
Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.
What did Emmy Noether do to help your math?
she proved the Noether Theorem and they said that that was the biggest help for math 2day. and they also said that its almost on the same page as the Pythagorean theorem.
