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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 is Pythagorus famous for?
He gave the Pythagoras formula for right angled triangles. A |\ | \ | \ | \ | \ C|___\ B In the given triangle ABC, ABXAB= ACXAC + BCXBC
Which types of triangles can be formed by taking the cross-section of a cube?
Equilateral, Isosceles or Scalene. For the latter two they could be acute or right angled
What is a prism with a cross-section of a right angled triangle?
A right-angled triangular prism!
What type of triangle has one side twice as long as the other side?
A right triangle. * * * * * Not necessarily. All that can be said is that is is not an equilateral triangle. It can be isosceles or scalene. It can be acute angled, right angled or obtuse angled.
What angled gives the effect of a three- dimensional object?
Bevel Edge
What edge is angled or sloped and gives the effect of a three-dimensional object?
beveledge
What type of triangle has an angle that measures 120 degrees?
An obtuse angled triangle.An obtuse angled triangle.An obtuse angled triangle.An obtuse angled triangle.
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 is Pythagorus famous for?
He gave the Pythagoras formula for right angled triangles. A |\ | \ | \ | \ | \ C|___\ B In the given triangle ABC, ABXAB= ACXAC + BCXBC
How do you name a triangle by its angles than its sides?
An acute angled triangle, right angled triangle or obtuse angled triangle.
What is an obtuse angled triangle?
An obtuse angled triangle is wider than a right angled triangle. It has 180 degree angles.
Which types of triangles can be formed by taking the cross-section of a cube?
Equilateral, Isosceles or Scalene. For the latter two they could be acute or right angled
When is the orthocenter inside on or outside of the triangle?
Inside: acute angled triangleOn: right angled triangle Outside: obtuse angled triangle.
Does a obtuse angled isosceles triangle have congruent side?
All isosceles triangles must have two congruent sides otherwise it is not isosceles. Whether it is acute angled, right angled or obtuse angled is irrelevant.
What type of triangle has an angle that measures 120 degrees and an angle that measures thirty degrees for kids?
It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.
What are the 7 types of triangles?
The seven types of triangles are Isosceles, equilateral, scalene, equiangular, acute-angled, obtuse-angled, and right-angled
