Flashcard - Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

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

Front

How do you find 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 relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

How do you find 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

What is the formula for the height of an equilateral triangle?

Back

Height = (side length × √3) / 2.

Front

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

Back

16√3 mm.

Front

What is the measure of the hypotenuse in a 45-45-90 triangle if each leg is 5?

Back

5√2.

Front

How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √2.

Front

What is the value of √3 approximately?

Back

Approximately 1.732.

Front

What is the value of √2 approximately?

Back

Approximately 1.414.