Lecture

Triangle Geometry: Examples

Related lectures (25)

Explores triangle bisectors, locus of equidistant points, and incenter intersection.

Covers the geometry of the triangle, including inequalities, heights, and centers.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

Explores the properties of bisectors and areas in Analytical Geometry.

Explores the geometry of a triangle, focusing on special lines.

Explores exterior angles in triangles, inscribed angles in circles, and a point's power relative to a circle.

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

Explores the area formula for triangles using base, height, and determinants.

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Covers the precise description of the relative positioning of objects in space.

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.

Explores intersections of lines and medians in a square geometry context.