30-60-90 Triangle Calculator

Calculate the sides and angles of a 30-60-90 special right triangle instantly.

30° 60° 90°

Results:

Short side (a): 1

Hypotenuse (c): 2

Long side (b): 1.732

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Understanding 30-60-90 Triangles

A 30-60-90 triangle is a special right triangle with angles of 30°, 60°, and 90°. These triangles have unique properties that make them valuable in geometry and real-world applications:

Key Properties

  • If the shortest side (a) is x units long:
  • The hypotenuse (c) is 2x units
  • The remaining side (b) is x√3 units

Common Applications

  • Architecture and Construction
  • Engineering Design
  • Navigation and Surveying
  • Computer Graphics and Game Development