pythagoras theorem?

Question

What is pythagoras theorem?

Answer 1

a squared + b squared = c squared.

c is the hypotenuse and a and b are the other sides. To work out c, you add the squares of a and b and then you square root it to find c.

Answer 2

Pythagoras' Theorem states that for a right-angled triangle, the sum of the square of the two perpendicular sides results in the square of the third slanted side known as the hypotenuse.

If the perpendicular sides are a and b and the hypotenuse is c, then:

a^2 + b^2 = c^2

Answer 3

The statement of the pythagoras theorem is....... in a right angled triangle the square of the hypotenuse(side opposite the right angle)is equal to the sum of the squares of the other two sides..........let the length of the hypotenuse be =A and the lengths of the other two sides be B and C.......then by pythgoras theorem ............A^2 = B^2 + C^2

Answer 4

Pythagoras' Theorem gives the relationship between the lengths of the sides of a right-angled triangle.
Theorem: In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(The hypotenuse is the longest side of the triangle and "faces" the right angle - an angle of 90 degrees)

Answer 5

The theorem is as follows:

In any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (i.e. the two sides other than the hypotenuse).
If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the equation

Answer 6

Its a theorem named after a Greek mathematician.he was born round 572bc and also founded a famous school of philosophy,math,music and natural sciences.

[The square on the hypotenuse of a right triangle is equal in area to the sum of the areas of the squares on the other two sides].

a^2 + b^2 = c^2

Answer 7

Pythagoras was a Greek Mathematician who had greatly contributed to realise "practical number applications", based on his contact with Egyptian knowledge ( as a trader!)

Undoubtedly, Pythagoras theorem has been widely applied by people ever since it got publicised as a 'utility mathematical theorem'. (It is interesting to note that Pythagoras also knew "numerology" which is a computing knowledge used in "astronomy and astrology" which did exist much earlier to Pythagoras!

As regards Pythagoras theorem, it is a simple relation of right angled triangles (either a square or a rectangle when equally split into two halves along a-diagonal of it we get right angled triangles!). It implies they are also relatable to either a rectangle or a square!

Theorem states that "sum of squares of two perpendicular sides of a right angled triangle is equal to square of hypotenuse of same right angled triangle"!

Notable utility of it is, we can apply said theorem visually in a 2D-square matrix, as a usual number application!
"x" and "y" merged co-ordinate positions (when grasped in relation to a zero-start origin) we get a "larger than x or y" hypotenuse.

Relation rhat "square root of (x^2+y^2)= (hypotanuse)" sum it up! ('x' and 'y' in it are co-ordinates)!

A branch of mathematics (trignometry) has emerged based on Pythagorus theorem which realizes practical instant computing with the help of computers!

There are few other interesting matters related to said theorem! Pythagorian triplets are one of them. Some right angled triangles have " x, y and hypotanuse" as whole numbers, A unique relation binds all said triplets as...

{(Any odd number ^2) /2} +/- 0.5 ) are always hypotanuse and a longer side of said right angle triangle and 'odd number itself' represets short side! Said relation helps to sort "triplets" by using computers! We can also compute mentally a few of these!

3^2= 9 and 9/2 +/- 0.5 are 5 and 4. And 5^2 - 4^2= 3^2

5^2= 25 and 25/2 +/- 0.5 are 13 and 12. And 13^2-12^2=5^2

And so on...

A usual brick size "3inches x 4 inches and 12 inches" has a relation with above two pythagorian triplets. Sq.root (3^2 +4^2) is a diagonal of "edge of brick " and sq rt (5^2 +12^2) = 13. Surface area and volume of said brick are also whole numbers which are "utility and humor" of said relation! No chance that we can find another such relation!

Pythagorus theorem is a direct "number application", which has great utility as a key element to build "human awarreness" of endless states!

As Pythagorus theorem can also be applied visually, and as it relates nothing more than squares and square roots people apply it very easily. Now Pythagorus theorem is already a world order public awareness!

Regards!

Answer 8

a^2 + b^2 = c^2

c is the hypotenuse or the long side of the triange, and a and b are the two shorter sides of the triangle (which way 'round these two go doesn't matter).

Basically it's a theorem to work out any unknown side of a triangle, provided that 2 sides are known.

For example:
a = 3
b = 4
c = ?

3^2=9
4^2 = 16
9+16 = 25
The square-root of 25 is 5
so c=5.

Very useful theorem in Maths, you know.

Answer 9

its is a maths rule concerning right angled triangles.
where the two shortest sides are labelled a and b and the longest opposite the right angle, c.

the rule is that a²+b²=c² so the square of a and b added will give the square of c. to find c simply square root

any further queries go to bbc bitesize or any other good maths revision sites

If anyone is wondering the ² symbol is created by holding down ALT and typing in the number 0178 on the number keypad on the right of your keyboard

Answer 10

It's a theorem dealing with right triangles.

The sum of the squares of the two sides is equal to the square of the hypotenuse or a^2+b^2=c^2

Look here for more:
http://en.wikipedia.org/wiki/Pythagorean_theorem

Answer 11

Pythagoras was the chief of a Sioux tribe, he has three wives, one slept on a buffalo skin, one on a puma skin and his favourite on a hippo skin which was gift from an African chief on an exchange visit.

The first wife had one boy child, the second boy twins and his favourite boy triplets, which shows that the "Sons of the squaw on the hippopotamus is equal to the sons of the squaws on the other two hides"