Online Geometry Problems

Online 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. 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
 


 

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 | Email | Solution / comment | By Antonio Gutierrez