The formula of the Pythagorean theorem who knows urgently

In China, the sum of the squares of the two right-angled sides of a right-angled triangle is equal to the square of the hypotenuse is called the Pythagorean theorem or the 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

Defined as: In any right triangle, the sum of the squares of the lengths of the two right-angled sides is equal to the square of the hypotenuse lengths.

satisfies the Pythagorean theorem equation a 2 + b 2 = c 2; (a,b,c). 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.

The general formula of the Pythagorean array:

a=m^2-n^2

b=2mnc=m^2+n^2

m>n,m,n are positive integers).

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 satisfying the Pythagorean theorem equation a2 + b2 = c2 (a,b,c). 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.

The sum of the squares of the 2 right-angled sides in a right-angled triangle is equal to the squares of the hypotenuses!

Sum of squares of right-angled sides = squares of hypotenuses.

a²+b²=c²

The square of the opposite corner is equal to the sum of the squares of the two sides.

What is the formula for the Pythagorean theorem.

1. The three positive integers that can form the three sides of a right-angled triangle are called Pythagorean numbers, that is, when a, b, and c are positive integers, they are called a, b, and c are a group of Pythagorean numbers.

2. Remember the common Pythagorean number to improve the speed of problem solving, such as etc.

3. Use the algebraic formula containing letters to express the number of Pythagorean in the n group of hail stools: (n is a positive integer); (n is a positive integer); (m>n,m,ascending n is a positive integer).

The three formulas are:

（1）（3,4,5),(6,8,10)……3n, 4n, 5n (n is a positive integer).

（2）（5,12,13),(7,24,25),(9,40,41)……2n+1, 2n 2+2n, 2n 2+2n+1 (n is a positive integer).

（3）（8,15,17),(12,35,37)……2 2*(n+1), 2-1, 2+1 (n is a positive integer).

(4) m2-n 2,2mn, m2+n 2 (m and n are both positive integers, m>n).

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 proved 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 Zhou Dynasty proposed a special case of the Pythagorean theorem of "Pythagorean three, four strings, five". In the West, the Pythagoreans of ancient Greece in the 6th century BC were the first to propose and prove this theorem, and they 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. The formula of the Pythagorean theorem is that the square of a plus the square of b is equal to the square of c. If the two right-angled sides of a right-angled triangle are a, b, and the hypotenuse is c, then the formula is: a2+b 2=c 2.

2. There are about 500 ways to prove the Pythagorean theorem, which is one of the theorems with the most ways to prove dust in mathematical theorems. The Pythagorean theorem is one of the 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. Rotten.

1. The formula of the Pythagorean theorem is that the square of a plus the square of b is equal to the square of c. If the two right-angled sides of the right-angled three-dust search angle are a, b, and the hypotenuse is c, then the formula is: a 2 + b 2 = c 2.

2. There are about 500 ways to prove the Pythagorean theorem, which is one of the theorems with the most proof methods 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.

The formula of the Pythagorean theorem refers to the relationship between the square of the hypotenuse is equal to the sum of the squares of the two right-angled sides in a right-angled triangle, that is, "the two right-angled sides of a right-angled triangle are known A and B, find the hypotenuse C", the formula is: C2 = A2 + B2 Algorithm Steps: 1

Enter the two right-angled sides a and b of the triangle; 2.Calculate the sum of the squares of two right-angled edges sum = a2 + b2;3.The square of the hypotenuse of the cavity is calculated csquare = sum; 4.

Calculate the hypotenuse c = sqrt(csquare); 5.The results will be output. Note:

"csquare" in step 3 is the square of the hypotenuse, and "sqrt" in step 4 represents the open square root function.

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-angled 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.

Basic formula

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 the formula of the Pythagorean theorem is a2

b2=c2Exactly the formula

a=m，b=(m^2/k-k)/2，c=(m^2/k+k)/2①

where m 3 (1) when m is determined to be an odd number of any 3, k =

2) When m is determined to be an even number of any 4, k=

Commonly used formulas

1）(3,4,5),(6,8,10)……3n, 4n, 5n (n is a positive integer).

2）(5,12,13),(7,24,25),(9,40,41)……2n+1, 2n 2+2n, 2n 2+2n+1 (n is a positive integer).

3）(8,15,17),(12,35,37)……2 2*(n+1), [2(n+1)] 2-1, [2(n+1)] 2+1 (n is a positive integer).

(4) m2-n 2,2mn, m2+n 2 (m and n are both positive integers, m>n). 、

The inverse theorem of the Pythagorean theorem is a simple way to determine whether a triangle is obtuse, acute, or right-angled, where ab=c is the longest side:

If a + b = c then abc is a right triangle.

If a +b > c then abc is an acute triangle (if ab=c is the longest side without the previous condition, then the formula only satisfies c is an acute angle).

If a + b

The Pythagorean theorem is a basic geometric theorem that states that the sum of the squares of 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 straight and bright corner side was the hook, the other long right angle side was the strand, and the hypotenuse was the chord, so this theorem was called the Pythagorean theorem, and some people also called the Shang Gao theorem. The formula a2+b2=c2a 2+b 2=c 2a 2 +b 2 =c 2 (the length of the two right-angled sides of a right-angled triangle is a and b respectively, and the length of the hypotenuse is c,).

The Pythagorean theorem is a fundamental theorem in mathematics that calculates the relationship between the side lengths of a right triangle. Its formula is as follows: In a right triangle, assume that the two longer sides are A and B, respectively, and the hypotenuse is C in length.

Then, according to the Pythagorean theorem, the following relationship is satisfied between them: a 2 + b 2 = c 2 which means that the sum of the squares of the two right-angled stupid buried edges of the right triangle size is equal to the square of the hypotenuse. The Pythagorean theorem was discovered by the ancient Greek mathematician Pythagoras, so it is sometimes referred to as the Pythagorean theorem.

It has a wide range of applications in geometry and practical applications for calculating and solving problems related to right triangles.

The Pythagorean theorem is calculated by a +b = c The Pythagorean theorem means that in a right-angled triangle on a plane, the square of the length of the two right-angled sides adds up to the square of the hypotenuse length. The formula for calculating the Pythagorean theorem is a +b = c, where a and b represent the two right-angled sides of a right-angled triangle, respectively, and c represents the hypotenuse. In addition, there are other formulas for the Pythagorean theorem, such as a=k(m + n), b = 2kmn, c = k (m + n) and commonly used wheel cover Pythagorean arrays, such as (3,4,5), (5,12,13), etc.

Dear, I'm glad to shout to answer for you, the Pythagorean theorem formula is as follows: In a right triangle, let the length of the right-angled sides be a and b, respectively, and the length of the hypotenuse (also known as chord length) is c. Then according to the Pythagorean theorem, there is the following relation:

The formula c = a + b expresses that the square of the hypotenuse of the right triangle is equal to the sum of the squares of the right angle.