(せいさんかくけい)

せいさんかくけい
noun
equilateral triangle
scienceappearance
1. equilateral triangle
A triangle in which all three sides are of equal length and, equivalently, all three interior angles are equal at 60°. The most symmetric of the triangle types and a foundational figure in elementary and middle-school geometry.
正三角形(せいさんかくけい)()
Draw an equilateral triangle.
正三角形(せいさんかくけい)内角(ないかく)すべて60度(ろくじゅうど)だ。
All interior angles of an equilateral triangle are 60 degrees.
With a compass and a ruler, you can easily construct an equilateral triangle.
If you know the length of one side, you can find the area and height of an equilateral triangle using a formula.

Composed of (せい) (regular; correct, used as a geometric prefix meaning 'regular' as in 正方形(せいほうけい) 'square'), 三角(さんかく) (triangle), and (けい) (shape). The (せい) prefix indicates that all sides and angles are equal, paralleling 'regular polygon' in English.

Usage

A core term in elementary and middle-school mathematics. The reading せいさんかくけい is the standard textbook reading, but せいさんっけい (with sokuon) is also widely heard and is often listed as an alternative reading. Often appears alongside 直角三角形(ちょっかくさんかくけい) (right triangle) and 二等辺三角形(にとうへんさんかくけい) (isosceles triangle) when classifying triangles. The (せい)(けい) pattern extends to 正方形(せいほうけい) (regular square) and 正多角形(せいたかくけい) (regular polygon).

Common collocations

  • 正三角形(せいさんかくけい)(): to draw an equilateral triangle
  • 正三角形(せいさんかくけい)作図(さくず)する: to construct an equilateral triangle (in geometry)
  • 正三角形(せいさんかくけい)面積(めんせき): area of an equilateral triangle
  • 正三角形(せいさんかくけい)一辺(いっぺん): one side of an equilateral triangle

Similar words

  • 三角形(さんかくけい): triangle — the general term
  • 二等辺三角形(にとうへんさんかくけい): isosceles triangle — two sides equal, the next-most-symmetric type
  • 直角三角形(ちょっかくさんかくけい): right triangle — has one 90° angle
  • 正方形(せいほうけい): square (regular quadrilateral) — built from the same (せい)(けい) pattern
  • 正多角形(せいたかくけい): regular polygon — the broader category to which 正三角形(せいさんかくけい) belongs