What is the Pythagoras Therom?
回答 (9)
2008-10-08 7:31 am
✔ 最佳答案
The square of a right triangle's hypotenuse is the sum of the square of its sides.
h^2 = a^2 + b^2
.
2008-10-08 12:04 pm
Pythagorean theorem (Pythagoras theorem)
In mathematics, the Pythagorean theorem (American English) or Pythagoras' theorem (British English) is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although knowledge of the theorem almost certainly predates him. The theorem is as follows:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
This is usually summarized as follows:
The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
In mathematics, the Pythagorean theorem (American English) or Pythagoras' theorem (British English) is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although knowledge of the theorem almost certainly predates him. The theorem is as follows:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
This is usually summarized as follows:
The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
參考: Pythagorean theorem
http://en.wikipedia.org/wiki/Pythagorean_theorem
2008-10-08 7:52 am
Pythagorean theorem: a² + b² = c²
2008-10-08 7:49 am
In a right triangle,the hypotenuse^2=sum of the square of the other
two sides.
two sides.
2008-10-08 7:46 am
Hmm. the Pythagoras Therom is the most effective 1!
every body wrote it for a right angle triangle!
and that is
c^2= a^2 + b^2
Where a and b are the legs of a right triangle, and c is the hypotenuse
But you should know that this law is being used in all dimensions!
for 2 dimensions we learn that 1! but you can use this law in a cube very effectively!
if you think a pointA(Ax,Ay,Az) with
3axis, x , y, z
then you can calculate the position of a point with this law!it is simple form of this law!
A^2=Ax^2+Ay^2+Az^2
with 1,2,3,... ... ... ,n dimensions:
A^2=A1^2+A2^2+... ... ...+An^2
Pythagoras was really great!hope this helps u in the long run of maths!
every body wrote it for a right angle triangle!
and that is
c^2= a^2 + b^2
Where a and b are the legs of a right triangle, and c is the hypotenuse
But you should know that this law is being used in all dimensions!
for 2 dimensions we learn that 1! but you can use this law in a cube very effectively!
if you think a pointA(Ax,Ay,Az) with
3axis, x , y, z
then you can calculate the position of a point with this law!it is simple form of this law!
A^2=Ax^2+Ay^2+Az^2
with 1,2,3,... ... ... ,n dimensions:
A^2=A1^2+A2^2+... ... ...+An^2
Pythagoras was really great!hope this helps u in the long run of maths!
2008-10-08 7:36 am
a^2 + b^2 = c^2, where a and b are the legs (right angle) while c is the hypotenuse (the diagonal side opposite the right angle).
2008-10-08 7:31 am
its for finding the lengths of the sides of a right triangle, where a and b are the sides coming from the right angle, and c is the hypotenuse (opposite the right angle). if you know two of them then you can find the third.
a^2 + b^2 = c^2
a^2 + b^2 = c^2
2008-10-08 7:30 am
a² + b² = c²
2008-10-08 7:30 am
a^2 + b^2 = c^2
Where a and b are the legs of a right triangle, and c is the hypotenuse (the diagonal part).
Probably the easiest theorem to remember... Ever...
Where a and b are the legs of a right triangle, and c is the hypotenuse (the diagonal part).
Probably the easiest theorem to remember... Ever...
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