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.
Pythagoras was famous for the measurement of the lengths of a right angled triangle. The Pythagorean Eq'n is h^(2) = a^(2) + b^(2) Where 'h' is the hypotenuse ; the side opposite to the right angle. , and 'a' & 'b' are the two shorter sides adjacent to the right angle. MN The eq'n is only good for right-angled triangles on a plane surface. Right-angled triangles on a spherical (3-dimensional) surface do not obey this rule.
Equilateral, Isosceles or Scalene. For the latter two they could be acute or right angled
A right-angled triangular prism!
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.
Bevel Edge
beveledge
An obtuse angled triangle.An obtuse angled triangle.An obtuse angled triangle.An obtuse angled triangle.
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.
Pythagoras was famous for the measurement of the lengths of a right angled triangle. The Pythagorean Eq'n is h^(2) = a^(2) + b^(2) Where 'h' is the hypotenuse ; the side opposite to the right angle. , and 'a' & 'b' are the two shorter sides adjacent to the right angle. MN The eq'n is only good for right-angled triangles on a plane surface. Right-angled triangles on a spherical (3-dimensional) surface do not obey this rule.
An obtuse angled triangle is wider than a right angled triangle. It has 180 degree angles.
An acute angled triangle, right angled triangle or obtuse angled triangle.
Equilateral, Isosceles or Scalene. For the latter two they could be acute or right angled
Inside: acute angled triangleOn: right angled triangle Outside: obtuse angled triangle.
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.
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.
The seven types of triangles are Isosceles, equilateral, scalene, equiangular, acute-angled, obtuse-angled, and right-angled