Constructing A Square From A Triangle

The
Constructing A Square From A Triangle
Problem

Given: the triangle in the figure above, construct a square
whose area equals the area of the given triangle, namely, (1/2)ab.

First, every triangle can be converted into a right triangle whose area is equal to the area of the given triangle.

Triangle to Rectangle

And then, the right triangle can be converted to a rectangle whose area is equal to the area of the right triangle.

Now proceed as in problem 2a, constructing a square from a rectangle.

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