Pythagorean Theorem and Special Right Triangles PRACTICE FLASHCARD

Front

What is the Pythagorean Theorem?

Back

Front

What is the formula for finding the hypotenuse in a right triangle?

Back

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures that allow for easier calculations. The two most common special right triangles are the 30-60-90 triangle and the 45-45-90 triangle.

Front

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

Back

Front

In a 45-45-90 triangle, if one leg is 7, what is the length of the hypotenuse?

Back

Front

What is the relationship between the angles and sides in a 45-45-90 triangle?

Back

Front

How do you solve for a missing side using the Pythagorean Theorem?

Back

Front

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

Back

Front

What is the height of a ramp that makes a 30-degree angle with the ground if the ramp is 10 ft long?

Back

Using the sine function: Height = Ramp length * sin(30°) = 10 * 0.5 = 5 ft.