How to Identify a 45-45-90 Triangle Easily

Learn how to recognize a 45-45-90 triangle and understand its unique properties.

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A triangle is a 45-45-90 triangle if it is a right triangle where the two non-hypotenuse sides are of equal length. This symmetry results in the angles being 45°, 45°, and 90°, and the hypotenuse will be the leg length multiplied by √2.

FAQs & Answers

  1. What are the characteristics of a 45-45-90 triangle? A 45-45-90 triangle has two sides of equal length and angles measuring 45° each.
  2. How do you calculate the hypotenuse of a 45-45-90 triangle? To find the hypotenuse, multiply the length of a leg by √2.
  3. What is the significance of the 45-45-90 triangle in geometry? It is a key type of isosceles right triangle used in various geometric calculations and proofs.

Watch More

For more insights into triangle properties and geometry tips, check out our videos on isosceles triangles and Pythagorean theorem!

  1. Understanding the Rule for Right Triangles: A Comprehensive Guide Learn the essentials of right triangles and the Pythagorean Theorem in this informative Q&A video.
  2. Is a 30-60-90 Triangle Isosceles? Discover why a 30-60-90 triangle cannot be isosceles, including definitions and side ratios.