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

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30°, 60°, and 90°. The length of the short leg is half the hypotenuse, and the long leg is √3 times the short leg.

Front

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

Back

Multiply the length of a leg by √2.

Front

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

Back

Divide the length of the hypotenuse by 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 angles and sides in a 45-45-90 triangle?

Back

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

Front

If the hypotenuse of a 30-60-90 triangle is 12, what is the length of the short leg?

Back

6 (12 divided 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 value of u and v in a 45-45-90 triangle if each leg is 8?

Back

u = 8, v = 8.

Front

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

Back

Hypotenuse = 2 × (short leg).