Flashcard - Special Right Triangles

Front

What are the angles in a 45-45-90 triangle?

Back

The angles are 45°, 45°, and 90°.

Front

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

Back

The legs are equal in length, and the hypotenuse is √2 times the length of each leg.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by 2.

Front

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

Back

Multiply the length of the short leg by √3.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

1 : √3 : 2 (short leg : long leg : hypotenuse).

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

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

Back

The long leg is 4√3.

Front

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

Back

The height is (s√3)/2.

Front

If the side length of an equilateral triangle is 32 mm, what is the height?

Back

The height is 16√3 mm.

Front

What is the measure of the angles in an equilateral triangle?

Back

All angles measure 60°.