
# -*- coding: utf-8 -*-
'''
    File name: code\angular_bisector_and_tangent\sol_296.py
    Author: <NAME>
    Date created: Oct 20, 2018
    Python Version: 3.x
'''

# Solution to Project Euler Problem #296 :: Angular Bisector and Tangent
# 
# For more information see:
# https://projecteuler.net/problem=296

# Problem Statement 
'''
Given is an integer sided triangle ABC with BC ≤ AC ≤ AB.k is the angular bisector of angle ACB.m is the tangent at C to the circumscribed circle of ABC.n is a line parallel to m through B.
The intersection of n and k is called E.



How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length?
'''

# Solution 

# Solution Approach 
'''
'''


# -*- coding: utf-8 -*-
'''
    File name: code\angular_bisector_and_tangent\sol_296.py
    Author: <NAME>
    Date created: Oct 20, 2018
    Python Version: 3.x
'''

# Solution to Project Euler Problem #296 :: Angular Bisector and Tangent
# 
# For more information see:
# https://projecteuler.net/problem=296

# Problem Statement 
'''
Given is an integer sided triangle ABC with BC ≤ AC ≤ AB.k is the angular bisector of angle ACB.m is the tangent at C to the circumscribed circle of ABC.n is a line parallel to m through B.
The intersection of n and k is called E.



How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length?
'''

# Solution 

# Solution Approach 
'''
'''

# -*- coding: utf-8 -*- File name: code\angular_bisector_and_tangent\sol_296.py     Author: <NAME>     Date created: Oct 20, 2018     Python Version: 3.x # Solution to Project Euler Problem #296 :: Angular Bisector and Tangent # # For more information see: # https://projecteuler.net/problem=296 # Problem Statement Given is an integer sided triangle ABC with BC ≤ AC ≤ AB.k is the angular bisector of angle ACB.m is the tangent at C to the circumscribed circle of ABC.n is a line parallel to m through B. The intersection of n and k is called E.    How many triangles ABC with a perimeter not exceeding 100 000 exist such that BE has integral length? # Solution # Solution Approach