Flashcard - Special Right Triangles

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The sides opposite the 45° angles are equal, and the hypotenuse is x√2, where x is the length of each leg.

Front

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

Back

The ratio of the sides is 1 : √3 : 2, where 1 is the length of the short leg, √3 is the length of the long leg, and 2 is the length of the hypotenuse.

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 height of an equilateral triangle with side length 's'?

Back

The height is (s√3)/2.

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 relationship between the angles and sides 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 calculate the hypotenuse of a 45-45-90 triangle?

Back

Hypotenuse = leg × √2.

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 hypotenuse is 10, what is the length of the short leg?

Back

The short leg is 10/2 = 5.

Front

What is the value of sin(30°)?

Back

sin(30°) = 1/2.