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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.
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
How did Pythagoras become so famous?
Because Pythagoras was the first person to prove the pythagorean theorem correct and his philosophy influence all other philosophers after his death, incluing Plato and Aristotle. His Pythagorean School gained influence and respect during the years around 520 BC in Italy. His Society was spread all throughout Europe and Asia.
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.
Are some isosceles triangles equilateral triangles?
All isosceles triangles are not equilateral triangles
What does all right triangles have in common?
They all comply with Pythagoras' theorem of: a2+b2 = c2
Is L a theorem is all about right triangles?
If you are referring to Pythagoras' theorem for right angle triangles then the theorem states that for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides.
Does the Pythagoream Theorem Work on all triangles?
No, only right triangles
What kind of triangles does the Pythagorean theorem work for?
All right-angles triangles. That is triangles that contain one angle at 90 degrees.
Will the exterior angle theorem work for all triangles?
Yes, all plane triangle.
What was Pythagoras great for?
Pythagoras is great for all the things he did. Including: Making Pythagoras' Theorem and even more.
Does the Pythagorean Theorem work on all triangles with side length of 1?
It doesn't matter on the side length, but it MUST have a right angle.
Does the Pythagorean Theorem work on all triangles?
No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D
Is the Pythagorean theorem is true for all similar triangles?
Only right triangles.
How do you work out Pythagoras Theorem?
It is pretty simple, all you have to do is know the equation "A²=+ B²=C²", but you always have to remember that the longest side is "c"
Can Pythagorean Theorem be used on all types of triangles?
No it can only be used with right angle triangles.
Who started the pythagorean theorem and why?
Finkelstein invented it. Pythagoras was his agent. Pythagoras got 15% off the top and slapped his name on it just before it went to press. Finkelstein got the short end of that one. All he could do was pack up his triangles and go home, never to be heard from again.
