45-45-90 Triangle: Theorem, Rules & Formula


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question 1 of 3

Correctly complete the statement: A 45-45-90 triangle must have

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1. Correctly complete the statement: The legs of a 45-45-90 triangle

2. Correctly complete the statement: The hypotenuse is always

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About This Quiz & Worksheet

45-45-90 triangles are triangles that have exactly one right angle and two legs of equal length. By taking the interactive quiz, you will answer multiple choice questions that test your knowledge of the Pythagorean Theorem and how it can be used to solve for missing triangle information, as well as the definition of terms like hypotenuse and leg.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • How to calculate the length of legs or the hypotenuse of a 45-45-90 triangle
  • How to solve equations using the Pythagorean Theorem
  • The mathematical rules of 45-45-90 triangles
  • The relationships between side lengths and angles of 45-45-90 triangles

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Problem solving - use acquired knowledge to solve for the lengths of legs or the hypotenuse of 45-45-90 triangles
  • Interpreting information - verify that you can read information regarding the Pythagorean Theorem and interpret it correctly
  • Information recall - access the knowledge you've gained regarding the equations and rules for 45-45-90 triangles

Additional Learning

To learn more about this unique geometric shape, review the corresponding lesson on 45-45-90 triangles. This lesson covers the following topics:

  • Right triangles
  • The relationship between hypotenuses, legs, and angles
  • The Pythagorean Theorem
  • The definition of hypotenuse and leg