Understanding the Pythagorean Theorem

The video introduces a new unit on measurement geometry, focusing on the Pythagorean Theorem. It explains the parts of a right triangle, including the hypotenuse and legs, and how to use the theorem to find the length of a missing side. Two examples are provided: one for finding the hypotenuse and another for finding a leg. The video emphasizes the importance of identifying right triangles and using the theorem correctly.

What is the main goal of the lesson on the Pythagorean Theorem?

• To explore the history of Pythagoras.

• To memorize the formula for the area of a triangle.

• To learn about different types of triangles.

• To understand the parts of a right triangle and use the theorem to find missing side lengths.

What indicates that a triangle is a right triangle?

• A circle in the corner.

• A square in the corner.

• A rectangle in the corner.

• A triangle in the corner.

Which side of a right triangle is known as the hypotenuse?

• Any side of the triangle.

• The shortest side of the triangle.

• The side opposite the right angle and the longest side.

• The side that forms the right angle.

What are the two sides that form the right angle in a right triangle called?

• Arms

• Bases

• Legs

• Hypotenuse

In the Pythagorean Theorem, which side must always be labeled as 'c'?

• The shortest side

• The side opposite the right angle

• Any side

• The side that forms the right angle

What is the formula for the Pythagorean Theorem?

• a^2 + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a + b = c

If you know the lengths of two sides of a right triangle, what can you use to find the third side?

• The volume formula

• The perimeter formula

• The Pythagorean Theorem

• The area formula

In the first example, what are the given side lengths of the right triangle?

• 7 cm and 9 cm

• 6 cm and 8 cm

• 8 cm and 10 cm

• 5 cm and 7 cm

What is the approximate length of the hypotenuse in the first example?

• 7.5 cm

• 8.6 cm

• 9.2 cm

• 10.1 cm

In the second example, what is the length of the side being calculated?

• 7.48 inches

• 8.60 inches

• 9.12 inches

• 10.24 inches