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在初中《几何》第一册,介绍了著名的勾股定理:直角三角形两直角边a、b的平方和等于斜边c的平方。 a~2+b~2=c~2 (1)我国古代就把直角三角形的直角边分别叫做勾和股,斜边叫做弦。我们把满足(1)式的正整数组(a,b,c)称为勾股弦数,即以正整数为边长的直角三角形的三边之长。其中a、b称为勾股数,且勾、股数是可以互
In the first book of Geometry in the junior middle school, the famous Pythagorean theorem was introduced: The sum of the squares of the sides a and b of the right triangle is equal to the square of the side c. a~2+b~2=c~2 (1) In ancient China, the right-angled sides of right-angled triangles were called hooks and strands respectively, and the hypotenuses were called strings. We refer to the positive integer group (a, b, c) that satisfies (1) as the number of pegs, that is, the lengths of the three sides of a right triangle with a positive integer as the side length. Among them, a and b are referred to as the number of shares, and the ticks and the number of shares are mutually acceptable.