Understanding the 45-45-90 Triangle Formula

Discover the formula for a 45-45-90 triangle and learn how to calculate its sides effectively.

200 views

A 45-45-90 triangle follows a specific ratio between its sides. If each leg is of length 'a', then both legs are equal in length, and the hypotenuse is 'a√2'. The formula is: Leg = a, Leg = a, Hypotenuse = a√2.

FAQs & Answers

  1. What are the side lengths of a 45-45-90 triangle? In a 45-45-90 triangle, the lengths of the legs are equal, both being 'a', and the hypotenuse is 'a√2'.
  2. How do you derive the 45-45-90 triangle formula? The formula derives from the properties of isosceles right triangles, where the legs are equal, and the hypotenuse is found using the Pythagorean theorem.
  3. What is the significance of the 45-45-90 triangle in geometry? The 45-45-90 triangle is a fundamental shape in geometry, crucial for understanding trigonometry and various applications in real-life problems.
  4. Can the formula be applied in real-life situations? Yes, the properties of the 45-45-90 triangle are used in architecture, construction, and design when creating right angles.

Watch More

If you enjoyed learning about the 45-45-90 triangle formula, check out our videos on other triangle types and their properties, or dive into more geometry concepts for enhanced understanding.

  1. Calculating the Hypotenuse of a 45-45-90 Triangle: A Step-by-Step Guide Learn how to easily find the hypotenuse of a 45-45-90 triangle with our quick and clear guide.
  2. Mastering Special Right Triangles: 45-45-90 and 30-60-90 Explained Learn how to solve special right triangles: 45-45-90 and 30-60-90. Discover their unique ratios for finding missing sides.
  3. Understanding the 30-60-90 Triangle Rule: Essential Geometry Tips Explore the unique side ratios of 30-60-90 triangles and simplify your geometric calculations with this quick guide.
  4. Understanding the 3 4 5 Triangle Rule: A Quick Guide Learn about the 3 4 5 triangle rule and how it helps identify right-angled triangles easily.