what does pythagores theorm mean?

Answer 1

Pythagoras theorem means the formula asquared + b squared equals c squared. The square of the hypotonuse is equal to teh squares of the other sides. (Hi dad)

Answer 2

In mathematics, the Pythagorean theorem or Pythagoras's theorem is a relation in Euclidean geometry between the three sides of a right triangle. In the West, the theorem is named after the Greek mathematician Pythagoras, who is credited with the first abstract proof.Sounds too theoretical? Simply put:

a^2+b^2 = c^2

Where c is the length of the hypotenuse and a and b be the lengths of the other two sides.

This has also something to do with Fermat's Last Theorem, where if n is greater than two, then a^n + b^n = c^n has no solutions in non-zero integers a, b, and c.Proven by Andrew Wiles.

Answer 3

a sqared+b squared=c sqaured in a ninty degree triangle the vertical line will be a the horizontal line is b the diagonal line is c the length of "a" for example is 4 4 squared is 16 and "b" is 3 3squared is 9 16+9=25 so 25=c squared the square root of twenty five is five
so if you vertical is4 and horizontal is 3 you can figure out the length of the diagonal through this simple equation
it is the focal point of making a building square
if one wall is four feet and the other is three feet and the distance between the two corners is less than or greater than five all the other measurements will be off

Answer 4

triangle ABC has a right angle at C Side opposite angles A, B, and C are names a b and c Pythagoras theorem says a^2 + b^2 = c^2 If any right angled triangle is drawn and sqiuares are drawn on each leg containing the right angle then the square drawn on the hypotenuse will be equal in area to the first 2 squares this is easily demonstrated with a piece of paper if the first 2 squares are cut out they can be shown to fill the area of the square on the hypotenuse [they may have to be cut into smaller bits to fill the shape] Also as the sine of 90 degrees is 1............say sine C it can be shown that sin^2A + sin^2B = 1 by measurement and calculation

Answer 5

If you have a right triangle.
Let a and b be the sides that form the right angle
side c(the hypoteneuse) will have the length of:
squareroot(a^2 +b^2)
OR
a^2 +b^2 =c^2


Don't believe the Scarecrow in the Wizard of Oz. When he got his brain, he said the following:

"The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."

Answer 6

It is the relationship between the measurement of the three sides of a right triangle.

Pythagoras, I am told (Look, I'm old, but not old enough to have known him, contrary to rumor), assigned great mystical value to the fact that it predicted the existence of things neither integer nor fraction.

Other than that, it's a useful formula, and the basis of the Euclidean metric (in math) and used in some trigonometric work.

Nothing mystical, as far as I know.

Answer 7

it means that the lengths of the sides of a right triangle always have the same relationship

that is, if you know the length of any two sides of a right triangle, you can easily calculate the length of the other side

it means that the whole math of trigonometry is possible

it is stated as the square of the hypotenues is equal to the sum of the squares of the other two sided

algebraically it is usually written x^2+y^2=z^2

Answer 8

Umm... everything everybody else said plus it can tell you whether a triangle is acute, obtuse or right.
If:
A^2+B^2 A^2+B^2>C^2 the triangle is acute
A^2+B^2=C^2 the triangle is right

it doesn't just apply to right triangles like most people think.

Answer 9

I guess this is the most important rule in geometry.
See the rectangular triangle with sides a, b and c.
c is the hypotenuse, the line with the slope.
Then the Pythagorean theorem says a^2 + b^2 = c^2

Answer 10

It's used to calculate the hypotenuse of a right triangle.

Answer 11

For every right triangle, square of hypotenuse (the side opposite of right angle) is equal to sum of the squares of the other two sides.