How to resolve the algorithm Heronian triangles step by step in the Phix programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Heronian triangles step by step in the Phix programming language
Table of Contents
Problem Statement
Hero's formula for the area of a triangle given the length of its three sides a, b, and c is given by: where s is half the perimeter of the triangle; that is,
Heronian triangles are triangles whose sides and area are all integers.
Note that any triangle whose sides are all an integer multiple of 3, 4, 5; such as 6, 8, 10, will also be a Heronian triangle. Define a Primitive Heronian triangle as a Heronian triangle where the greatest common divisor of all three sides is 1 (unity). This will exclude, for example, triangle 6, 8, 10.
Show all output here. Note: when generating triangles it may help to restrict
a <= b <= c
{\displaystyle a<=b<=c}
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Heronian triangles step by step in the Phix programming language
Source code in the phix programming language
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