# On the impossibility of constructing a triangle given its internal bisectors

## TL;DR

This paper proves that it is impossible to construct a triangle with given internal bisectors using only straightedge and compass, highlighting a fundamental geometric limitation.

## Contribution

The paper provides a simple proof demonstrating the impossibility of triangle construction from internal bisectors with classical geometric tools.

## Key findings

- Construction from internal bisectors is impossible with straightedge and compass.
- The proof applies even to isosceles triangles.
- This result clarifies a fundamental geometric constraint.

## Abstract

We give a simple proof to the fact that it is impossible to use straightedge and compass to construct a triangle given the lengths of its internal bisectors, even if the triangle is isosceles.