1/11 Special Right Triangles Flashcard

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 : @@rac{{ ext{√3}}}{{2}} : 2.

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are both 45 degrees and the right angle is 90 degrees. The sides are in the ratio 1 : 1 : @@ ext{√2}.

Front

What is the formula for the long leg in a 30-60-90 triangle?

Back

Front

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

Back

The hypotenuse is twice the length of the short leg (opposite the 30-degree angle).

Front

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

Back

Front

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

Back

Front

What is the formula for the legs in a 45-45-90 triangle?

Back

Front

If the hypotenuse of a 45-45-90 triangle is 8, what is the length of each leg?

Back

Front

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

Back

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back