What Is the Rule for 45-45-90 Triangles in Geometry?

Learn the rule for 45-45-90 triangles: equal legs and hypotenuse equal to leg length times √2. Understand this key geometry concept easily.

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The rule for 45-45-90 triangles is that the legs are of equal length, and the hypotenuse is the leg length multiplied by the square root of 2 (√2). This means if each leg is 'x,' the hypotenuse will be x√2.

FAQs & Answers

  1. What are the side lengths in a 45-45-90 triangle? In a 45-45-90 triangle, both legs are equal in length, and the hypotenuse is the leg length multiplied by the square root of 2.
  2. How do you find the hypotenuse of a 45-45-90 triangle? Multiply the length of one leg by √2 to find the hypotenuse in a 45-45-90 triangle.
  3. Why are 45-45-90 triangles called special right triangles? They are called special right triangles because their side ratios are always consistent, making calculations simpler in geometry.

Watch More

For a deeper understanding of special triangles, be sure to explore our related videos on 30-60-90 triangles and the Pythagorean theorem. These concepts together build a solid foundation in geometry.

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