Problem 420. Triangle, Angles, Altitude, Sides, Measurement.
Level: High School, College, SAT Prep.
The figure shows a triangle ABC with
BC = 3AB, altitude BD, angle DBC = 3 angle ABD, and AD = 1. Find
Geometry problem solving
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 ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."