Program to find the Excenters of a Triangle | Python3 program for the above approach ; Function to calculate the distance between a pair of points ; Function to calculate the coordinates of the excenters of a triangle ; Length of the sides of the triangle ; Stores the coordinates of the excenters of the triangle ; For I1 ; For I2 ; For I3 ; Print the excenters of the triangle ; Driver Code
from math import sqrt NEW_LINE def distance ( m , n , p , q ) : NEW_LINE INDENT return ( sqrt ( pow ( n - m , 2 ) + pow ( q - p , 2 ) * 1.0 ) ) NEW_LINE DEDENT def Excenters ( x1 , y1 , x2 , y2 , x3 , y3 ) : NEW_LINE INDENT a = distance ( x2 , x3 , y2 , y3 ) NEW_LINE b = distance ( x3 , x1 , y3 , y1 ) NEW_LINE c = distance ( x1 , x2 , y1 , y2 ) NEW_LINE excenter = [ [ 0 , 0 ] for i in range ( 4 ) ] NEW_LINE excenter [ 1 ] [ 0 ] = ( ( - ( a * x1 ) + ( b * x2 ) + ( c * x3 ) ) // ( - a + b + c ) ) NEW_LINE excenter [ 1 ] [ 1 ] = ( ( - ( a * y1 ) + ( b * y2 ) + ( c * y3 ) ) // ( - a + b + c ) ) NEW_LINE excenter [ 2 ] [ 0 ] = ( ( ( a * x1 ) - ( b * x2 ) + ( c * x3 ) ) // ( a - b + c ) ) NEW_LINE excenter [ 2 ] [ 1 ] = ( ( ( a * y1 ) - ( b * y2 ) + ( c * y3 ) ) // ( a - b + c ) ) NEW_LINE excenter [ 3 ] [ 0 ] = ( ( ( a * x1 ) + ( b * x2 ) - ( c * x3 ) ) // ( a + b - c ) ) NEW_LINE excenter [ 3 ] [ 1 ] = ( ( ( a * y1 ) + ( b * y2 ) - ( c * y3 ) ) // ( a + b - c ) ) NEW_LINE for i in range ( 1 , 4 ) : NEW_LINE INDENT print ( int ( excenter [ i ] [ 0 ] ) , int ( excenter [ i ] [ 1 ] ) ) NEW_LINE DEDENT DEDENT if __name__ == ' _ _ main _ _ ' : NEW_LINE INDENT x1 = 0 NEW_LINE x2 = 3 NEW_LINE x3 = 0 NEW_LINE y1 = 0 NEW_LINE y2 = 0 NEW_LINE y3 = 4 NEW_LINE Excenters ( x1 , y1 , x2 , y2 , x3 , y3 ) NEW_LINE DEDENT