Home Geometry Problems All problems Visual Index Problems Art Gallery 511-520 Right Triangle Area Post a solution        By Antonio Gutierrez

Problem 517: Right Triangle, Six Squares, Areas.
Level: High School, College, SAT Prep.

The drawing shows a right triangle ABC with the squares of area A1, A2, A3, A4, A5, and A6.  Prove that Formula of squares area to prove.
 

Right triangle with six squares, areas
 

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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