It is known that the lengths of three sides of a triangle are three continuous natural numbers, and its circumference is 12cm. What are the lengths of three sides of the triangle? It's a formula!

It is known that the lengths of three sides of a triangle are three continuous natural numbers, and its circumference is 12cm. What are the lengths of three sides of the triangle? It's a formula!


Let the first number be x1, the second number be X2, and the third number be X3
X1+X2+X3=12
(X1)*(X1)+(X2)*(X2)=(X3)*(X3)
The distortion is X3 = the square of X1 under the root sign + the square of x2
The solution of X1 is 3
Bring in
The solution is X1 = 3, X2 = 4, X3 = 5
Inspection
The final conclusion is X1 = 3, X2 = 4, X3 = 5