30-60-90 Triangles

Practice Questions

Trigonometry › 30-60-90 Triangles

Questions
8
1

In a 30-60-90 triangle, the length of the side opposite the angle is . What is the length of the hypotenuse?

2

In a triangle, the side opposite the degree angle is . How long is the side opposite the degree angle?

3

It is known that for a 30-60-90 triangle,

.

Find the area of the triangle.

Note:

4

What is the ratio of the side opposite the angle to the hypotenuse?

5

Triangle is equilateral with a side length of .

What is the height of the triangle?

6

A triangle has three angles , and such that and . The side opposite to measures units in length. How long is the side opposite of ?

7

What is the height of an equilateral triangle with side length 8?

8

It is known that the smallest side of a 30-60-90 triangle is 5.

Find .

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