What is the formula of the hook theorem, and the hook theorem is how much the hook is fixed

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

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 decision, he immediately beheaded a hundred oxen to celebrate, so it is also called the "Hundred Oxen Theorem".

The Pythagorean theorem states:

The sum of the squares of the two right-angled sides (i.e., "hooks", "strands") of a right triangle is equal to the square of the sides of the hypotenuse (i.e., "chord").

That is, let the two right-angled sides of a right-angled triangle be a and b, and the hypotenuse side is c, then.

a2 + b2 = c2

The Pythagorean theorem has now found about 400 ways to prove it, making it one of the most provable theorems among mathematical theorems.

Pythagorean array A positive integer array (a,b,c) satisfying the Pythagorean theorem equation a2 + b2 = c2. For example, (3,4,5) is a set of Pythagorean arrays.

Since there are 3 unknowns in the equation, there are countless groups of Pythagorean arrays.

If the hypotenuse of a right-angled triangle is regarded as a vector on a two-dimensional plane, and the two hypotenuse sides are regarded as projections on the coordinate axis of the plane Cartesian coordinate system, the significance of the Pythagorean theorem can be examined from another perspective. That is, the square of the length of a vector is equal to the sum of the squares of the length of the projection on a set of orthogonal bases in the space in which it is located.

The square of the right-angled side of A + the square of the right-angled edge of B = the square of the hypotenuse

Indicated by letters:a²+b²=c²

a, b is the right-angled edge, c is the hypotenuse).

The sum of the squares of the two right-angled edges is equal to the square of the hypotenuse.

a2+b2=c2 (2 is squared).

As early as the beginning of the Western Zhou Dynasty in the 11th century BC, the mathematician Shang Gao once talked to the Duke of Zhou, who assisted King Cheng of Zhou, about the right triangle having such a property: if the two right sides of a right triangle are 3 and 4 respectively, then the hypotenuse of this right triangle is 5. Using the method of quotient, it is easy to get a more general conclusion:

In a right triangle, the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse. This is known as the Pythagorean theorem or quotient theorem, which is known in the West as the Pythagorean theorem. The Pythagorean theorem is an ancient and widely used theorem.

For example, starting from the Pythagorean theorem, the opening square and the opening square were gradually developed; Use the Pythagorean theorem to find pi. It is said that more than 4,000 years ago, China's Dayu used the Pythagorean theorem to measure the difference in terrain between the two places in the process of controlling floods. The Pythagorean theorem, with its simple and beautiful form and rich and profound content, fully reflects the harmonious relationship between nature.

People have always maintained a high level of enthusiasm for the Pythagorean theorem, and there are dozens of proofs of the theorem alone, and even the famous great physicist Albert Einstein gave a proof. Hua Luogeng, a famous Chinese mathematician, once he talked about how to talk to "aliens" once humans encountered them, he suggested that a graph of the relationship between numbers and shapes reflecting the Pythagorean theorem should be used as a language for talking to "aliens". This fully shows that the Pythagorean theorem is one of the most essential and basic laws of nature, and the Chinese are ahead in the discovery and application of such an important law.

It is found that in a right triangle, the hook is 6, the strand is 8, and the chord must be 10; The hook is 5, the strand is 12, the chord must be 13, and so on. And 6 +8 = 10 , 5 +12 = 13 ,...i.e. hook + strand = chord. Do all right triangles have this property?

Many mathematicians in the world have proved this property in different ways. Our country calls it the Pythagorean theorem. Pythagorean theorem :

The sum of the squares of the two right-angled sides A and B of a right-angled triangle is equal to the square of the hypotenuse c. i.e.: a +b = c The inverse theorem of the Pythagorean theorem:

If the three sides of a triangle are related to the lengths a, b, and c, i.e., a + b = c, then the triangle is a right triangle. (May you give a good review).

The Pythagorean theorem can only be used if there is an angle of ninety degrees within the triangle!

Hello, it's a hook three strands, four strings, five.

Literal formulation: In any non-isosceles right triangle (RT), the sum of the squares of the lengths of the two right-angled sides is equal to the square of the length of the hypotenuse (it can also be understood as the square of the two long sides subtracted from the square of the shortest side).

Mathematical expression: If the ascending side length of the two right-angled limbs of the right-angled Lizhou old triangle is a, the trace is b, and the hypotenuse length is c, then a 2 + b 2 = c 2

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

The sum of the squares of the two right-angled edges must be equal to the square of the hypotenuse. If the two right-angled sides of a straight scattered signal triangle are a, b, respectively, and the oblique simplification or side is c, then a +b = c