Can anyone tell me more about the Pythagorean theorem? Thanks

The Pythagorean theorem is actually a special form of the cosine theorem.

If the hook is three, the strand is four, then the string is five. The Pythagorean theorem.

Theorem: If the two right-angled sides of a right-angled triangle are a, b, and the hypotenuse is c, then a2+b 2=c 2;; That is, the sum of the squares of the two right-angled sides of a right-angled triangle is equal to the square of the hypotenuse lengths. If the three sides of the triangle a,b,c satisfy a 2 + b 2 = c 2; , and the deformation formula:

ab = root sign (ac 2 + bc 2), e.g. a right-angled side is a, and the other right-angled side is b, if the sum of the squares of a and b is equal to the square of the hypotenuse c, then the triangle is a right-angled triangle.

Pythagorean theorem: In any right-angled triangle, the sum of the squares of the lengths of the two right-angled sides must be equal to the square of the hypotenuse lengths. This theorem is also known as the "Shang Gao Theorem" in China and the "Pythagorean Theorem" in foreign countries.

At present, the second year of junior high school students learn, and the proof method of the textbook adopts Zhao Shuang's string diagram. The Pythagorean theorem (also known as Shang Gao's theorem, Pythagorean theorem) is a basic geometric theorem that was discovered by Shang Gao as early as the Shang Dynasty in China. It is said that after Pythagoras discovered this theorem, he beheaded a hundred cows in celebration, hence the "Hundred Oxen Theorem".

The Pythagorean theorem states that the sum of squares of the two right-angled sides of a right triangle (i.e., the "hook" and "strand" of the short one is the hook and the long one is the strand) is equal to the square of the side length of the hypotenuse (i.e., the "string"). That is to say, if the two right-angled sides of a right-angled triangle are a and b, and the hypotenuse is c, then the square of a + the square of b = the square of c a b c The Pythagorean theorem has found about 500 ways to prove it, which is one of the theorems with the most ways to prove in mathematics.

The Pythagorean theorem is actually a special form of the cosine theorem. Shang Gao, a famous mathematician in ancient China, said: "If the hook is three, the strand is four, then the string is five."

It is recorded in the Nine Chapters of Arithmetic.

The law of groin,.

The property that the sum of the squares of the two right-angled sides of a right triangle equals the square of the hypotenuse is called the Pythagorean theorem or Pythagorean theorem, also known as the Pythagorean theorem or Pythagoras theorem. In mathematical formulas, it is often written as a 2 + b 2 = c 2

The sum of squares of the two right-angled sides of a right-angled triangle (i.e., the "hook" and "strand" for the short one is the hook and the long one is the strand) is equal to the square of the side length of the hypotenuse (i.e., the "string"). That is to say, if the two right-angled sides of a right-angled triangle are a and b, and the hypotenuse is c, then the square of a + the square of b = the square of c a 2 + b 2 = c 2 The Pythagorean theorem has found about 500 ways to prove it, which is one of the theorems with the most ways to prove in mathematical theorems. Shang Gao, a famous mathematician in ancient China, said

If the hook is three, the strand is four, then the string is five. It is recorded in the Nine Chapters of Arithmetic.

If the two right-angled sides of a right-angled triangle are a, b, and the hypotenuse is c, then a2+b2=c2

The distance between two points is the shortest, that is, the distance between the two treetops.

The tops of the trees that are too short are perpendicular to the higher trees.

A right-angled triangle is formed, with right-angled sides of 6-2 and 5, respectively

then the hypotenuse (i.e. the distance between the two treetops) = 4 +5 = 41

It is the sum of the squares of two right-angled sides (length), which is equal to the square of the hypotenuse (length), for example: one right-angled side is equal to 3, and the other right-angled side is equal to 4, and the hypotenuse must be 5 because: 3 +4 = 5

This is the Pythagorean theorem.

The two right-angled sides are called the hook and the strand, respectively, and the hypotenuse is called the chord.

In a right triangle, the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse

In a right-angled triangle on a plane, the square of the lengths of the two right-angled sides adds up to the square of the hypotenuse lengths.

If the length of the two right-angled sides of a right-angled triangle is a and b, and the length of the hypotenuse is c, then it can be expressed mathematically: a +b = c

The Pythagorean theorem is a basic geometric theorem that states that the sum of the squares of the two right-angled sides of a right-angled triangle is equal to the square of the hypotenuse. In ancient China, the right triangle was called the Pythagorean shape, and the smaller of the right-angled sides was the hook, the other long right-angled side was the strand, and the hypotenuse was the chord, so this theorem was called the Pythagorean theorem, and some people called the Shanggao theorem.

The Pythagorean theorem now has about 500 ways to prove it, making it one of the most provable theorems in mathematics. The Pythagorean theorem is one of the important mathematical theorems discovered and proven by mankind in the early days, one of the most important tools for solving geometric problems with algebraic ideas, and one of the links between numbers and shapes. In China, Shang Gao during the Shang Dynasty proposed a special case of the Pythagorean theorem of "Pythagorean Three Strands, Four Xuanwu".

In the West, the Pythagoreans of ancient Greece in the 6th century BC were the first to propose and prove this theorem, who used the deductive method to prove that the square of the hypotenuse of a right triangle is equal to the sum of the squares of two right angles. [1]

Chinese name. Pythagorean theorem.

Foreign name. Pythagoras Theorem alias. The quotient theorem, the Pythagorean theorem, and the hundred bull theorem.

Expression. a2+b2=c2

Presented by. Pythagoras, Zhao Shuang, Shang Gao.

Proposed time. 551 B.C.

Applied Disciplines. Geometry.

Scope of application.

Mathematics, Geometry.

Scope of application.

Mathematics, wide curved bucket geometry.

Chinese Chronicles.

Zhou Ji Sutra of Arithmetic" and "Nine Chapters of Arithmetic".

Foreign Chronicles.

Geometry Primitive" constraints.

Right-angled triangle.

The first square and the tail are squared, and the product is multiplied by 2 times.

The square of a plus the square of b is equal to the square of c.

What is the formula for the Pythagorean theorem.

Pythagorean theorem: The three sides of a right triangle satisfy the sum of squares relation, such as a2=b2+c2