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30-60-90 Triangle: Theorem, Properties & Formula

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

You are given the length of the side which is across from a 60 degree angle in a right triangle. To find the length of the other two sides you must first

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1. Find the value of x in the triangle pictured below.

2. Find the length of the shorter leg in the triangle pictured below.

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About This Quiz & Worksheet

Triangles that have 30, 60, and 90 degree angles have specific and unique characteristics. This interactive quiz will use multiple choice questions, including practice problems, to test your knowledge of the dimensions, angles, and equations involved in 30-60-90 triangles.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • How to calculate the length of a leg or hypotenuse
  • How to determine the degree of an angle
  • The equations involved in solving for a triangle's missing dimensions
  • The relationships between side lengths and angles of 30-60-90 triangles

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Problem solving - use acquired knowledge to solve for missing angles and side lengths of 30-60-90 triangles
  • Interpreting information - verify that you can read information regarding the geometric equations of triangles and interpret them correctly
  • Information recall - access the knowledge you've gained regarding the equations and rules for 30-60-90 triangles

Additional Learning

To learn more about this facet of geometry, review the corresponding lesson on 30-60-90 triangles. This lesson covers the following topics:

  • Right triangles
  • Hypotenuses
  • How to solve for missing angles and side lengths
  • Rationalizing denominators
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