Flashcard - Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

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

Front

What is the relationship between the short leg and the hypotenuse in a 30-60-90 triangle?

Back

The hypotenuse is twice the length of the short leg.

Front

How do you find the length of the long leg in a 30-60-90 triangle?

Back

Multiply the length of the short leg by √3.

Front

What is a 45°-45°-90° triangle?

Back

A special right triangle where the angles are both 45° and the sides are in the ratio 1 : 1 : √2.

Front

What is the relationship between the legs in a 45°-45°-90° triangle?

Back

The lengths of the legs are equal.

Front

How do you find the length of the hypotenuse in a 45°-45°-90° triangle?

Back

Multiply the length of one leg by √2.

Front

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

Back

8 (4 multiplied by 2).

Front

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

Back

4√3 (4 multiplied by √3).

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

In a 30-60-90 triangle, if the long leg is 'v', what is the short leg?

Back

v/√3.