How to Identify 30-60-90 vs 45-45-90 Triangles

Learn how to distinguish between 30-60-90 and 45-45-90 triangles and understand their key properties.

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Identify a 30-60-90 triangle by checking if it has angles of 30°, 60°, and 90°. In a 45-45-90 triangle, both non-right angles are 45°, and the legs are equal in length. Key ratios: In 30-60-90 triangles, side lengths follow 1:√3:2; in 45-45-90 triangles, the ratio is 1:1:√2.

FAQs & Answers

  1. What are the properties of a 30-60-90 triangle? A 30-60-90 triangle has angles of 30°, 60°, and 90°, with side lengths in the ratio of 1:√3:2.
  2. What are the properties of a 45-45-90 triangle? In a 45-45-90 triangle, both non-right angles are 45°, and the legs are equal in length, with side lengths in the ratio of 1:1:√2.
  3. How do you calculate side lengths in 30-60-90 triangles? To find the side lengths, use the ratios 1 (opposite 30°), √3 (opposite 60°), and 2 (hypotenuse).
  4. How can I memorize triangle angle rules? Practice drawing the triangles and using mnemonic devices to remember their angles and ratio properties.

Watch More

For further learning, check out our videos on different triangle types and their properties, as well as tips for solving geometry problems with ease.

  1. How to Identify a 45-45-90 Triangle Easily Learn how to recognize a 45-45-90 triangle and understand its unique properties.
  2. Is a 30-60-90 Triangle Isosceles? Discover why a 30-60-90 triangle cannot be isosceles, including definitions and side ratios.