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Geometry Problem 800: de Gua's Theorem, Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area. Mobile Apps, iPad, Ligh Pattern. Level: High School, SAT Prep, College, Mathematics Education.

In any tetrahedron with a cubic vertex O-ABC the square of the area of the face opposite the cubic vertex O-ABC is equal to the sum of the squares of the areas of the other three faces AOB, AOC, BOC.

Gua's theorem, Pythagoras theorem in 3-D


Art of Geometry Problem 800 using Mobile Apps. Light Patterns.

Art of problem 800 using mobile apps, iPad, Light Patterns

Art of Geometry Problem 800 in Motion. Light patterns

Click on the figure below.

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 791-800 | Altitude, height | Solid Geometry | Classical Theorems | Right Triangle | Right Triangle Area | Metric relations in a right triangle | Mobile Apps | iPad  | Email | Solution / comment | by Antonio Gutierrez