Special Right Triangles Practice

Front

What are the two special right triangles commonly used in geometry?

Back

The two special right triangles are the 45-45-90 triangle and the 30-60-90 triangle.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

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

Front

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

Back

In a 30-60-90 triangle, the length of the side opposite the 30-degree angle is half the length of the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the length of the shorter leg.

Front

How do you find the length of the diagonal of a square?

Back

The length of the diagonal of a square can be found using the formula d = s√2, where s is the length of a side.

Front

If the side of a square is 48 inches, what is the length of the diagonal?

Back

The length of the diagonal is 48√2 inches.

Front

What is the value of y in a 45-45-90 triangle if one leg is 11?

Back

In a 45-45-90 triangle, if one leg is 11, then y (the hypotenuse) is 11√2.

Front

What is the value of y in a 30-60-90 triangle if the shorter leg is 9?

Back

In a 30-60-90 triangle, if the shorter leg is 9, then y (the hypotenuse) is 18 and the longer leg is 9√3.

Front

What is the value of y in a 30-60-90 triangle if the longer leg is 8√3?

Back

In a 30-60-90 triangle, if the longer leg is 8√3, then the shorter leg is 8 and the hypotenuse is 16.

Front

What is the value of y in a 30-60-90 triangle if the hypotenuse is 14?

Back

In a 30-60-90 triangle, if the hypotenuse is 14, then the shorter leg is 7 and the longer leg is 7√3.

Front

How do you calculate the length of the embroidery line along the diagonal of a square tablecloth?

Back

To calculate the length of the embroidery line along the diagonal, use the formula d = s√2, where s is the side length of the square.