đường cao

Đường cao của tam giác vuông hạ từ đỉnh góc vuông xuống cạnh huyền.

Definition

1. Noun (Mathematics):
   • Altitude: A line segment drawn from a vertex of a triangle perpendicular to the opposite side (or the line containing the opposite side). It represents the height of the triangle from that vertex.
   • Height: The length of this line segment, often used in geometric calculations for area.

Usage Examples

• Noun:
  • Ba đường cao của một tam giác đồng quy tại một điểm gọi là trực tâm. (The three altitudes of a triangle intersect at a single point called the orthocenter.)
  • Để tính diện tích, ta lấy độ dài cạnh đáy nhân với đường cao tương ứng rồi chia đôi. (To calculate the area, take the length of the base multiplied by the corresponding height and then divide by two.)

Advanced Usage

• "Đường cao" is a fundamental term in Euclidean geometry, specifically in the study of triangles (tam giác). It is crucial for theorems concerning the orthocenter and for area formulas.

Variants and Related Words

• Đường trung tuyến (n): median (a line from a vertex to the midpoint of the opposite side).
• Đường phân giác (n): angle bisector.
• Đường trung trực (n): perpendicular bisector.

Synonyms

• Altitude: (Primary synonym in geometry).
• Height: When referring to its measurement.

Related Terms and Phrases

• Trực tâm (n): orthocenter (the intersection point of the three altitudes).
• Tam giác vuông (n): right triangle (where two altitudes are the legs of the triangle).
• Cạnh đáy (n): base (the side to which an altitude is drawn).