Geometry Problem 1179: Triangle, Centroid, Transversal, Sum of Ratios, Sides, Typography, iPad Apps

Proposition

In a triangle ABC, G is the centroid and line DGE is a transversal, D on AB and E on BC (see the figure). If AD = a1, DB = a2, CE = c1, and EB = c2, prove that: a1 / a2 + c1 / c2 = 1.


Art and Typography of Geometry Problem 1179: Triangle, Centroid, Transversal, Sum of Ratios, Sides, iPad Apps


Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

See also:
Original problem 1179.

Recent Additions

Geometry Problems
Ten problems: 1171-1180
Geometric Art
Geometry for Kids
iPad Apps
Post a comment