what is a PYTHAGORIAN THEOREM?

Question

please answer my question

Answer 1

its the simple equation where the sum of the squared legs of a right triangle equal the square of the hypotenuse

Answer 2

The Pythagorean Theorem is one of Euclidean Geometry's most beautiful theorems. It is simple, yet obscure, and is used continuously in mathematics and physics. In short, it is really cool.

Evidence of the theorem can be traced far back into Egyptian history with the help of the Rhind Papyrus(1788-1580 BC). The Rhind Papyrus itself claims to be a copy of an earlier work, possibly dating as far back as 2000 BC. The use of the 3-4-5 triangles(9+16=25) to construct perfect right angles, indeed seems to have been a very common practice, long ago. Unfortunately, little information predates the Greeks, so this will probably remain another mystery of the Egyptians. Traditionally, however, the theorem has been credited[in western culture] to Pythagoras of Samos. The legend has it that he was so excited by its proof that he sacrificed a bull for the occasion, even though Pythagoreans were against animal sacrifice. Unfortunately, there are only legends. The Pythagorean School, which gets its name from its founder, was a secret cult. They regarded their knowledge as something to be kept from all outsiders. Thus, they did not write things down until the cult began to lose prominence several generations later, leaving posterity with a void where the life of Pythagoras should have been. Consequently, classicists do not know if Pythagoras was actually responsible for the first proof.

Answer 3

The square of the hypotenuse on a right angled triangle is equal to the sum of the squares of the other two sides.

The hypotenuse is the longest side. So if you had a triangle whose sides were 3", 4" and 5" the squares would be:-

3 x 3 = 9
4 x 4 = 16

Add 9 + 19 = 25
5 x 5 = 25

Easy

Pythagoras calculated this about 3,000 years ago and it works for all right angled triangles no matter what the size of their sides. Try it.

Answer 4

The Pythagorean theorem deals with the lengths of the sides of a right triangle. It is often written in the form of the equation:

a(squared) + b(squared) = c(squared)

The theorem states that:

The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Answer 5

Pythagorean theorem

The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse.

Answer 6

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.

Answer 7

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).

It is the Pythagorean Theorem, there is only one.

Answer 8

The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse.

In figures,
Let
a and b = legs
c = hypotenuse

Therefore,
a² + b² = c²

^_^

Answer 9

the pythagorian theorem is
a(squared)+b(squared)=c(squared)

its really simple

a and b are the legs
c is the hypotneuse!!

it works for any right triangle and it doesnt matter what size he triangle is as long as it is a right triangle!

Answer 10

pythagorean theorem is used on right triangles(triangles with 1 angle as 90º) given a and b are the legs and c is the hypothenuse(longest side)
a(squared)+b(squared)=c(squared)
a^2+b^2=c^2

but what the theorem really state is the sum of the squares of the 2 legs of the triangle in a right triangle is equal to the square of the hypothenuse