Online Geometry Problems

Online Geometry Problem 881: Triangle, three Squares, Centers, Areas. Level: High School, Honors Geometry, College, Mathematics Education

The drawing shows a triangle ABC, M is the center of the square ABCD of area 32, N is the center of the square BCEF of area 46, and MNPQ is a square of area 67. Find the area of triangle ABC.

 

Geometry Problem: Triangle, three Squares, Center, Area
 

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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