![]() ![]() The triangle ABC is also an isosceles triangle with a right angle at one corner. You can see this by noting that the two angles making up this angle (each formed by a green and a black like) are the same two angles that make up the corner of one of the original squares, which is of course ninety degrees. The triangle FAE also has a right angle at the corner point F. The triangle FAE is isosceles: the two green lines are both diagonals of a rectangle formed by two of the squares and therefore have the same length. ![]() And since they are congruent, the angle at the point D,, is the same as the red angle at the point E, as shown in the diagram. This means that triangles ADB and FEG are congruent. Both are the result of forming a rectangle from two of the squares and slicing it in half with a diagonal line. ![]() Now label some of the corners A to F as shown in the diagram. Figure 2: The two red angles are the same. ![]()
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