How to Find Missing Side Lengths in a 45-45-90 Triangle: Step-by-Step Guide

Learn how to quickly find missing side lengths of a 45-45-90 triangle using the 1:1:√2 ratio with clear examples.

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To find the missing side lengths of a 45-45-90 triangle, remember the ratio 1:1:√2. If one leg is known, the other leg is the same length. The hypotenuse is found by multiplying a leg by √2. For example, if a leg is 5, the other leg is also 5, and the hypotenuse is 5√2.

FAQs & Answers

  1. What is the side length ratio in a 45-45-90 triangle? The side length ratio in a 45-45-90 triangle is 1:1:√2, where the legs are equal and the hypotenuse is the leg length multiplied by √2.
  2. How do you find the hypotenuse in a 45-45-90 triangle if one leg is known? Multiply the length of the known leg by √2 to find the hypotenuse in a 45-45-90 triangle.
  3. Can the 45-45-90 triangle side length formulas be applied to any triangle? No, these formulas only apply to special right triangles with two 45-degree angles and one 90-degree angle.

Watch More

For further practice with special right triangles, check out our tutorials on 30-60-90 triangles and Pythagorean theorem examples. These resources will deepen your understanding of right triangle side length relationships and help improve your problem-solving skills.

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