Special Right Triangles Exit Ticket

Front

What is a 45-45-90 triangle?

Back

A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees. The lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.

Front

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

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The shortest side (opposite the 30-degree angle) is 'x', the longer leg (opposite the 60-degree angle) is 'x√3', and the hypotenuse is '2x'.

Front

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

Back

To find the length of the hypotenuse in a 45-45-90 triangle, multiply the length of one leg by √2.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 4√2.

Front

In a 30-60-90 triangle, if the short leg is 5, what is the length of the long leg?

Back

The long leg is 5√3.

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the short leg is 6?

Back

The hypotenuse is 12.

Front

What is the short leg in a 30-60-90 triangle if the hypotenuse is 10?

Back

The short leg is 5.

Front

What is the long leg in a 30-60-90 triangle if the short leg is 3?

Back

The long leg is 3√3.

Front

What is the length of the legs in a 45-45-90 triangle if the hypotenuse is 8?

Back

Each leg is 8/√2 or 4√2.