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Suppose you have a triangle whose vertices are A, B and C, and the sides opposite these vertices are a, b and c, respectively.

Cut out the triangle.

Fold it so that vertex B meets vertex C.

Mark the point where this fold is on side a. Mark this point as D and fold along AD.

Fold it so that vertex A meets vertex C.

Mark the point where this fold is on side b. Mark this point as E and fold along BE.

Fold it so that vertex A meets vertex B.

Mark the point where this fold is on side c. Mark this point as F and fold along CF.

The three folds, AD, BE and CF meet at the circumcentre. You do not need all three - any two of them will do.

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Q: How do you find the circumcenter of different types of triangle using cutting and folding method?
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