【MATLAB编程实例练习】-（34）直角三角形边长问题

木星流火

于 2021-09-02 16:58:40 发布

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分类专栏： MATLAB编程实例练习文章标签： matlab 算法

本文链接：https://blog.youkuaiyun.com/qq_43301351/article/details/120065213

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这篇博客介绍了如何用两种方法编写代码，寻找具有特定周长的整数直角三角形的三边长度。重点在于实现函数，返回按最短边排序的边长数组，展示了在Cody挑战中解决该问题的思路和技术细节。

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题目

来源于Mathwork上的Cody，Problem 1103 - Right Triangle Side Lengths.

If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p = 120.
{[20,48,52], [24,45,51], [30,40,50]}
Given any value of p, return a cell array whose elements are the sorted side lengths of a possible right triangle whose perimeter is p. Furthermore, the elements of the output should be sorted by their shortest side length.

代码

function c = right_triangle_sides(p)
  c={};
  m=1;
  for i=round(p/3):p
      A=(1:i).^2;
      for j=1:i
          if (sum(A(j)+(p-i-sqrt(A(j)))^2==i^2)>0) && (p-i-sqrt(A(j))>0)
              c{m}=[sqrt(A(j)),p-i-sqrt(A(j)),i];
              m=m+1;
              break;
          end
      end
  end
  c=c(end:-1:1);
end

其它优秀代码

function c = right_triangle_sides(p)
c = {};
for x=1:p
   for y=x:p
      v=[x y hypot(x,y)];
      if sum(v)==p
        c = [c v];
      end
   end
end