Online Geometry: Special Right Triangles, Theorems and Problems

Online Geometry

Special Right Triangles: Angle based. Side based

 

Special right triangle 30 60

 
A special right triangle
  is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.

Angle based right triangle: 30-60-90, 45-45-90. (Angles that form a simple ratio)

Side based right triangle: 3-4-5 (The lengths of the sides form a whole number ratio), approx angles 37-53.

Knowing the ratios of the angles or sides of these special right triangles allows one to quickly calculate various lengths in geometric problems without resorting to more advanced methods.
 

Special right triangles
 

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