What is a 45°-45°-90° Triangle?

What is a 45°-45°-90° Triangle?

Note:

A 45-45-90 triangle is a special right triangle with some very special characteristics. If you have a 45-45-90 triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 45-45-90 triangles!

Keywords:

  • definition
  • 45 45 90
  • 45-45-90
  • special triangle
  • right triangle
  • pythagorean theorem

Background Tutorials

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      What are Acute, Obtuse, Right, and Straight Angles?

      Did you know that there are different kinds of angles? Knowing how to identify these angles is an important part of solving many problems involving angles. Check out this tutorial and learn about the different kinds of angles!

  • Quadrilateral Definitions

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      A trapezoid is a special type of quadrilateral with some special properties. This tutorial introduces you to trapezoids and gives you a look at the special properties needed for a quadrilateral to be called a trapezoid. Check it out!

  • Triangle Definitions

      • What are Acute, Obtuse, and Right Triangles?What are Acute, Obtuse, and Right Triangles?

      What are Acute, Obtuse, and Right Triangles?

      Did you know that there are different kinds of triangles? Knowing how to identify these triangles is an important part of solving many problems involving these triangles. Check out this tutorial and learn about some of the different kinds of triangles!

  • Definitions and Properties of Square Roots

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      What's a Square Root?

      What's a square root? Why do some numbers have two square roots? What's a principal square root? This tutorial answers it all!

  • Right Triangles and the Pythagorean Theorem

      • What are the Legs and Hypotenuse of a Right Triangle?What are the Legs and Hypotenuse of a Right Triangle?

      What are the Legs and Hypotenuse of a Right Triangle?

      Looking for some terminology used with right triangles? Then this tutorial was made for you! In this tutorial, you'll be introduced to the names for the different parts of a right triangle. Check it out!

      • What is the Pythagorean Theorem?What is the Pythagorean Theorem?

      What is the Pythagorean Theorem?

      The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle!

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Solving for a Variable

Further Exploration

  • 45°-45°-90° Right Triangles

      • How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?

      How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?

      Looking at a 45-45-90 triangle? Trying to find a missing side length? You could use the Pythagorean theorem, or you could use your knowledge of this special type of triangle to get that missing measurement. In this tutorial, see how to solve for a missing side length by using your knowledge of 45-45-90 triangles to find a scale factor and set up an equation to solve!

  • 30°-60°-90° Right Triangles

      • How Do You Find Missing Sides in a 30°-60°-90° Triangle?How Do You Find Missing Sides in a 30°-60°-90° Triangle?

      How Do You Find Missing Sides in a 30°-60°-90° Triangle?

      Looking at a 30-60-90 triangle? Trying to find a missing side length? You could use the Pythagorean theorem, or you could use your knowledge of this special type of triangle to get that missing measurement. In this tutorial, see how to solve for a missing side length by using your knowledge of 30-60-90 triangles to find a scale factor and set up an equation to solve!

      • What is a 30-60-90 Degree Triangle?What is a 30-60-90 Degree Triangle?

      What is a 30-60-90 Degree Triangle?

      A 30-60-90 triangle is a special right triangle with some very special characteristics. If you have a 30-60-90 degree triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 30-60-90 triangles!