Understanding the Pythagorean Theorem

The video tutorial explains how to use the Pythagorean theorem to find the length of the hypotenuse in a right triangle. It begins by identifying the hypotenuse as the side opposite the 90° angle. The theorem states that the sum of the squares of the two shorter sides equals the square of the hypotenuse. The video demonstrates the calculation process, showing that the hypotenuse is 17, and discusses recognizing perfect squares.

What is the side opposite the 90° angle in a right triangle called?

• Hypotenuse

• Adjacent side

• Opposite side

• Base

According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?

• The difference of the squares of the sides is equal to the hypotenuse

• The sum of the squares of the shorter sides is equal to the square of the hypotenuse

• The sum of the sides is equal to the hypotenuse

• The product of the sides is equal to the hypotenuse

If one side of a right triangle is 8 and the other is 15, what is the sum of their squares?

• 289

• 2890

• 225

• 64

What is the square of 8?

• 128

• 64

• 32

• 16

What is the square of 15?

• 275

• 250

• 225

• 150

What is the value of x if x^2 = 289?

• 17

• 16

• 18

• 15

Which of the following is a perfect square?

• 256

• 289

• 315

• 300