Understanding the Pythagorean Theorem

Sergio Albers introduces the Pythagorean theorem, explaining its application in right triangles. He describes the properties of right triangles, including the hypotenuse and legs. The theorem states that the sum of the squares of the legs equals the square of the hypotenuse. Sergio demonstrates this with examples, including solving for unknown sides in triangles and applying the theorem to real-world problems like a painter's fall and a TV's diagonal measurement. The lesson concludes with a brief outro.

What is the longest side of a right triangle called?

• Base

• Height

• Hypotenuse

• Diagonal

Which two sides of a right triangle form the letter 'L'?

• Hypotenuse and base

• Hypotenuse and height

• Legs

• Base and height

Tags

CCSS.8.G.B.8

What does the Pythagorean theorem state about the squares of the sides of a right triangle?

• The sum of the squares of the legs equals the square of the hypotenuse

• The square of the hypotenuse equals the sum of the squares of the base and height

• The square of the hypotenuse is greater than the sum of the squares of the legs

• The sum of the squares of all sides is equal

Tags

CCSS.8.G.B.8

In the equation a² + b² = c², what does 'c' represent?

• One of the legs

• The hypotenuse

• The base

• The height

Tags

CCSS.8.G.B.7

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

• 10

• 12

• 14

• 16

Tags

CCSS.8.G.B.8

In the ladder problem, what is the length of the hypotenuse?

• 30 feet

• 35 feet

• 28 feet

• 21 feet

Tags

CCSS.8.G.B.8

How far will the painter fall if the ladder is 35 feet long and the base is 21 feet from the house?

• 30 feet

• 21 feet

• 28 feet

• 35 feet

Tags

CCSS.3.MD.D.8

What is the width of John's TV?

• 45 inches

• 28 inches

• 35 inches

• 53 inches

Tags

CCSS.2.MD.A.3

What is the height of John's TV?

• 45 inches

• 28 inches

• 35 inches

• 53 inches

Tags

CCSS.8.G.B.8

What is the diagonal length of John's TV?

• 35 inches

• 28 inches

• 53 inches

• 45 inches

Tags

CCSS.8.G.B.8