Home Geometry Problems All Problems Semiperimeter 341-350 View or post a solution 
Problem 341. Triangle, Inscribed circle, Tangent, Semiperimeter.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the inscribed circle I tangent to sides at D, E, and F. If s is the semiperimeter of the triangle ABC, prove that s = AC + BE.

Triangle, Incircle, Tangent, Semiperimeter



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."

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