#!/usr/bin/env python
# coding: utf-8

# # Chapter 1: Introduction to Clustering
# 
# ## Exercise 1.02

# In[2]:


import math
import numpy as np

def dist(a, b):
    return math.sqrt(math.pow(a[0]-b[0],2) + math.pow(a[1]-b[1],2))


# In[3]:


centroids = [ (2, 5), (8, 3), (4,5) ]
x = (0, 8)


# In[4]:


# Calculating Euclidean Distance between x and centroid
centroid_distances =[]
for centroid in centroids:
    print("Euclidean Distance between x {} and centroid {} is {}".format(x ,centroid, dist(x,centroid)))
    centroid_distances.append(dist(x,centroid))