data/problems/75.yml
---
:id: 75
:name: Singular integer right triangles
:url: https://projecteuler.net/problem=75
:content: "It turns out that 12 cm is the smallest length of wire that can be bent
to form an integer sided right angle triangle in exactly one way, but there are
many more examples.\n\n**12 cm** : (3,4,5) \n**24 cm** : (6,8,10) \n**30 cm**
: (5,12,13) \n**36 cm** : (9,12,15) \n**40 cm** : (8,15,17) \n**48 cm** : (12,16,20)\n\nIn
contrast, some lengths of wire, like 20 cm, cannot be bent to form an integer sided
right angle triangle, and other lengths allow more than one solution to be found;
for example, using 120 cm it is possible to form exactly three different integer
sided right angle triangles.\n\n**120 cm** : (30,40,50), (20,48,52), (24,45,51)\n\nGiven
that L is the length of the wire, for how many values of L ≤ 1,500,000 can exactly
one integer sided right angle triangle be formed?\n\n"