Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

In a right triangle, what is the hypotenuse?

Back

The longest side opposite the right angle.

Front

If a right triangle has sides of lengths 3 and 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the two shorter sides equals the square of the longest side.

Front

If one side of a right triangle is 12 and the hypotenuse is 15, what is the length of the other side?

Back

9 (using the Pythagorean Theorem: 12² + b² = 15²).

Front

How can the Pythagorean Theorem be used in real-life situations?

Back

To determine distances, such as the height of a ladder against a wall.

Front

What is the distance from the starting point if an airplane flies 56 miles north and 33 miles east?

Back

65 miles (using the Pythagorean Theorem: 56² + 33² = 65²).

Front

If a right triangle has sides of lengths 6, 6.7, and 3, which is the hypotenuse?

Back

6.7.

Front

How far from the base of a house do you need to place a 15' ladder to reach a 12' wall?

Back

9 feet (using the Pythagorean Theorem: 12² + x² = 15²).