Understanding the Pythagorean Theorem

This video tutorial explains the Pythagorean theorem, which is used to find the length of the hypotenuse in a right triangle. The formula is c² = a² + b², where c is the hypotenuse and a and b are the legs. An example is provided with legs of lengths 5.25 and 7, demonstrating how to calculate the hypotenuse. The solution involves squaring the leg lengths, summing them, and taking the square root to find the hypotenuse length of 8.75. The video concludes with additional notes on leg assignment and encourages viewers to explore more videos.

What is the formula for the Pythagorean Theorem?

• a² = b² + c²

• c² = a² + b²

• b² = a² + c²

• a² + b² = c

In a right triangle, what is the hypotenuse?

• The side opposite the 90-degree angle

• The longest side of any triangle

• Any side of the triangle

• The side adjacent to the 90-degree angle

Tags

CCSS.8.G.B.7

If a right triangle has legs of lengths 5.25 and 7, what is the length of the hypotenuse?

• 9.0

• 8.5

• 8.75

• 7.5

Tags

CCSS.6.EE.A.1

What is the result of 5.25 squared?

• 27.5625

• 29.5625

• 30.5625

• 25.5625

Tags

CCSS.6.NS.B.3

What is the sum of 27.5625 and 49?

• 79.5625

• 76.5625

• 77.5625

• 78.5625

Tags

CCSS.8.G.B.7

How do you find the length of the hypotenuse from c² = 76.5625?

• Take the square root

• Add 10

• Divide by 2

• Multiply by 2

Tags

CCSS.8.G.B.8

Does it matter which leg length is assigned to a or b in the Pythagorean Theorem?

• Yes, a must be the shorter leg

• Yes, a must be the longer leg

• No, it doesn't matter

• Yes, b must be the longer leg

Tags

CCSS.8.G.B.8

What type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangle

• Scalene triangle

• Right triangle

• Isosceles triangle

Tags

CCSS.8.G.B.8

What should you do if you want to learn more about the Pythagorean Theorem?

• Ignore it

• Read a book

• Watch more videos

• Ask a friend

Tags

CCSS.8.G.B.8