In the figure below, given a triangle
ABC, line DEF parallel to AC and line FGM parallel to AB. If R,
R_{1}, R_{2}, and R_{3}, are the
circumradii of triangles ABC, DBE, FGE, and MGC respectively,
prove that R = R_{1}
+ R_{2} + R_{3}.
View or post a solution
.

FACTS AND HINTS:
Geometry problem solving is one of the most
challenging skills for students to learn. When a
problem requires auxiliary construction, the
difficulty of the problem increases drastically,
perhaps because deciding which construction to
make is an illstructured problem. By
“construction,” we mean adding geometric figures
(points, lines, planes) to a problem figure that
wasn’t mentioned as "given."
1. SIMILAR TRIANGLES:
Proposition:
Corresponding angles of similar triangles are congruent.
Home 
Geometry 
Search 
Problems 
Similarity 
Circumcircle 
Parallelograms

All Problems 
91100 
Visual
Index

Email 
View or post a solution  by Antonio Gutierrez
