Geometry Problem 1499: Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction

In triangle ABC, E is a point on \({\overline {AC}}\) so that \({\angle{BCA}}={2x},{\angle{BEA}}={3x},{\angle{A}}={60^\circ-2x}\) and AE = BC. Find \({x}\).
Auxiliary construction is an extra line, point or circle needed to complete a proof or solution in geometry.
Geometry Problem 1499: Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction

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Typography and Sketch of Problem 1498: Chichen Itza in the background


Geometry Problem 1498: Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points, Chichen Itza in the background

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.


Geometry Problem 1499 Solution(s)