Triangle puzzle

Triangle puzzle - How can this be true?

Triangle puzzle – How can this be true? Test your brain!

The shapes in Figure 1 are identical to the shapes in Figure 2. The four parts below are moved around. When you move them, you get the mystery hole… From where comes this hole?

Triangle puzzle - How can this be true?

The solution is shown in Figure 3.

Triangle puzzle - solution

Lines AC and XZ are not straight lines, but are actually angles ABC and XZY. ABC is slightly concave and XYZ is slightly convex. If you overlay Figure 1 on top of Figure 2, you will see the “overlap gap” which has an area exactly equal to the area of the little square we call the “mystery hole”.

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