Two blue squares and two red right triangles. What are the proportions of the triangle sides?

Author: Matthew Arcus.

Scroll down for a solution to this problem.

## Solution

The triangle proportions are 3 : 4 : 5.

geometry puzzles

Categories

- Post author By Rik
- Post date May 3, 2023
- 3 Comments on The Pythagoras bug

Two blue squares and two red right triangles. What are the proportions of the triangle sides?

Author: Matthew Arcus.

Scroll down for a solution to this problem.

The triangle proportions are 3 : 4 : 5.

- Tags length, proportion, square, triangle

## 3 replies on “The Pythagoras bug”

Solutiion of the original problem

Corrections:

In the figure |FG| has to be replaced by |AG|

and Solutiion by Solution!

Note that the general solution proves the theorem of Pythagoras, with an interesting link to the generation of Pythagorean triples, and in fact the problem is closely modelled on the recent proof of that theorem by Jackson and Johnson.