Henry Ernest Dudeney/Modern Puzzles/132 - The Garden Bed/Solution

by : $132$

 * The Garden Bed

Solution
From Largest Rectangle Contained in Triangle, the largest rectangle that can be inscribed within a triangle is situated such that:


 * Two of its vertices lie on one side of the triangle


 * Its other two vertices bisect the other two sides of the triangle.


 * Dudeney-Modern-Puzzles-132-solution.png

This solution works only if the tree is sufficiently close to the corner that it is not enclosed inside at least one of those largest rectangles.