About This Lesson
<p>In a right-angled tetrahedron prove that the sum of the areas of the 3 faces in mutually perpendicular planes equals the area of the sloping face. A generalization of Pythagoras’ theorem.</p>
Share
Share
Share
<p>In a right-angled tetrahedron prove that the sum of the areas of the 3 faces in mutually perpendicular planes equals the area of the sloping face. A generalization of Pythagoras’ theorem.</p>
A really nice investigation that shows how mathematicians use ideas and try to extend and generalise them. I'd never considered this extension to pythagoras' theorem before and will certain enjoy discussing it with 6th formers.