12/3 EXIT TICKET

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the length of the short leg (opposite the 30° angle) is 'x', the long leg (opposite the 60° angle) is 'x√3', and the hypotenuse (opposite the 90° angle) is '2x'.

Front

Identify the short leg in a 30-60-90 triangle.

Back

The short leg is the side opposite the 30° angle.

Front

Identify the long leg in a 30-60-90 triangle.

Back

The long leg is the side opposite the 60° angle.

Front

If the short leg of a 30-60-90 triangle is 6, what is the length of the long leg?

Back

The long leg is 6√3.

Front

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

Back

The short leg is 5.

Front

What is the formula to find the length of the long leg in a 30-60-90 triangle?

Back

Long leg = Short leg × √3.

Front

What is the formula to find the hypotenuse in a 30-60-90 triangle?

Back

Hypotenuse = Short leg × 2.

Front

If the long leg of a 30-60-90 triangle is 4√3, what is the length of the short leg?

Back

The short leg is 4.

Front

In a 30-60-90 triangle, if the hypotenuse is 16, what is the length of the long leg?

Back

The long leg is 8√3.