Similar to the real number triangle inequality that uses the absolute value, there is a triangle inequality for complex numbers that uses the complex modulus $$|z+w|\le |z|+|w|.$$ We show how to prove this inequality here.
Similar to the real number triangle inequality that uses the absolute value, there is a triangle inequality for complex numbers that uses the complex modulus $$|z+w|\le |z|+|w|.$$ We show how to prove this inequality here.