HEIGHTS OF TRIANGLE FOR 2D USING DISTANCE FORMULA

print("Enter the coordinates")

X1=int(input("X1 = "))

Y1=int(input("Y1 = "))

X2=int(input("X2 = "))

Y2=int(input("Y2 = "))

X3=int(input("X3 = "))

Y3=int(input("Y3 = "))

S1=(((X2-X1)**2)+((Y2-Y1)**2))**(1/2)

S2=(((X3-X2)**2)+((Y3-Y2)**2))**(1/2)

S3=(((X3-X1)**2)+((Y3-Y1)**2))**(1/2)

S=(S1+S2+S3)/2

A=(S*(S-S1)*(S-S2)*(S-S3))**(1/2)

h1=(2*A)/S2

h2=(2*A)/S3

h3=(2*A)/S1

print("\n",'       A',"(",X1,",",Y1,")")

print('        /\ ')

print('       /  \ ')

print('      /    \ ')

print('     /      \ ')

print('    /        \ ')

print('   /          \ ')

print('  /            \ ')

print(' /______________\ ')

print('B','              C')

print("(",X2,",",Y2,")","   ","(",X3,",",Y3,")")

print("\n","The coordinates of Point A = (",X1,",",Y1,")","\n","The coordinates of Point B = (",X2,",",Y2,")","\n","The coordinates of point C = (",X3,",",Y3,")","\n")

print("\n","Height of AB =",h3)

print("","Height of BC =",h2)

print("","Height of AC =",h1)

OUTPUT