High School Math : Understanding 30-60-90 Triangles

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding 30 60 90 Triangles


In this figure, , and . What is the value of angle ?

Possible Answers:


Correct answer:


Notice that these sides fit the pattern of a 30:60:90 right triangle: .

In this case, .

Since angle  is opposite , it must be .

Example Question #2 : Understanding 30 60 90 Triangles

A triangle has angles of . If the side opposite the angle is , what is the length of the side opposite ?

Possible Answers:

Correct answer:


The pattern for is that the sides will be .

If the side opposite is , then the side opposite will be .

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