30-60-90 Special Right Triangles

These lessons help Grade 8 students to learn about the 30-60-90 special right triangle.

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30-60-90 Triangles

A 30-60-90 triangle is a special type of right triangle. What is special about 30-60-90 triangles is that the sides of the 30-60-90 triangle always have the same ratio. Therefore, if we are given one side we are able to easily find the other sides using the ratio of 1:2:√3. Another special right triangle is the 45-45-90 triangle.

The following diagram shows the properties of a 30-60-90 Triangle. Scroll down the page for more examples and solutions on how to solve 30-60-90 Triangles.

30 60 90 Triangles

How to find the legs and hypotenuse in 30-60-90 triangles when given: the short leg, the long leg, or the hypotenuse.

Solve a 30-60-90 Right Triangle
This video provides examples of how to solve a 30-60-90 triangle given the length of one side.

30-60-90 Triangle

Finding the Missing Side of 30-60-90 Triangle

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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