Triangle Trick If you look closely, you can see that the triangle’s slope is not a straight line. One of the merged triangles is slightly convex up, and the other is somewhat concave down. However, the convexity and concaveness are … more
Triangle Regular Triangle The lengths of the three sides and the angles are the same. The size of each of the three angles is 60 °. It is the only triangle in which the inner center, circumcenter, and center of … more
Pythagorean Theorem When the three sides of a right triangle are a, b, and c, and the longest side is c, the following equation is always true. The areas of a square with sides a, b, and c is a … more
The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942. It is named after the ancient Greek mathematician Pythagoras. Fractal’s self-similarity Fractal curves retain their original shape even if … more
Pascal’s triangle is a triangular array of the binomial coefficients. Each number is the sum of the two numbers directly above it. Pascal’s triangle has many properties and contains many patterns of numbers. The sum of the elements of row … more
Pythagorean theorem Assuming that the three sides of a right triangle are a, b, c, and the longest side is c, the Pythagorean theorem is that the equation a²+b²=c² is always true. The equation a²+b²=c² represents three squares created using … more