A Conic Section Problem Involving the Maximum Generalized Golden Right Triangle

TL;DR

This paper explores a conic section problem related to the maximum generalized golden right triangle, providing solutions and simple constructions for this special triangle.

Contribution

It introduces new solutions and straightforward constructions for the maximum generalized golden right triangle within conic sections.

Findings

Solved a conic section problem involving the maximum generalized golden right triangle

Presented two simple geometric constructions of the triangle

Enhanced understanding of geometric properties related to golden ratios

Abstract

An interesting conic section problem involving the maximum generalized golden right triangle $T_2$ is solved, and two simple constructions of $T_2$ are shown.