SPECIAL RIGHT TRIANGLES

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 : √3 : 2, where 1 is the length of the shorter leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.

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

Front

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

Back

Multiply the length of the leg by √2.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle is given by the formula A = 1/2 * base * height.

Front

If the legs of a 45-45-90 triangle are each 4 units long, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2 units long.

Front

In a 30-60-90 triangle, if the longer leg is 4√3, what is the length of the short leg?

Back

The short leg is 4 units long.

Front

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

Back

The sides are in the ratio 1 : √3 : 2.

Front

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

Back

The short leg is 5 units long.

Front

In a 45-45-90 triangle, if the hypotenuse is 8√2, what is the length of each leg?

Back

Each leg is 8 units long.