(Photograph: Photograph: WWL-TV, from The Guardian) Teenagers prove Pythagoras using Trigonometry The Guardian recently reported that 2 US teenagers discovered a new proof for Pythagoras using trigonometry. Whilst initial reports claimed incorrectly that this was the first time that Pythagoras had been proved by trigonometry, it is nevertheless an impressive achievement. I will go through... Continue Reading →
Proving Pythagoras Like Einstein?
Proving Pythagoras Like Einstein? There are many ways to prove Pythagoras' theorem - Einstein reputedly used the sketch above to prove this using similar triangles. To keep in the spirit of discovery I also just took this diagram as a starting point and tried to prove this myself, (though Einstein's version turns out to be... Continue Reading →