Understanding the Pythagorean Theorem

This video tutorial by Mr. Jay covers the Pythagorean theorem, explaining its application to right triangles. It begins with an introduction to the theorem and its historical context, followed by a detailed explanation of triangle sides, including the hypotenuse and legs. The video demonstrates how to use the theorem to find missing side lengths, supported by visual representations and examples. It also includes calculations involving decimal side lengths, providing a comprehensive understanding of the theorem's application in geometry.

What is the longest side of a right triangle called?

• Altitude

• Leg

• Hypotenuse

• Base

Tags

CCSS.8.G.B.8

Who is the Pythagorean Theorem named after?

• Euclid

• Socrates

• Pythagoras

• Archimedes

Tags

CCSS.8.G.B.8

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

• A leg of the triangle

• The hypotenuse

• The base

• The height

Tags

CCSS.8.G.B.7

If one leg of a right triangle is 3 and the other is 4, what is the hypotenuse?

• 8

• 7

• 5

• 6

Tags

CCSS.8.G.B.8

How do you isolate the variable 'c' in the equation a² + b² = c²?

• Add a and b

• Multiply by 2

• Subtract a and b

• Take the square root

Tags

CCSS.8.NS.A.2

What is the approximate value of the square root of 149?

• 14.0

• 12.2

• 11.5

• 13.1

Tags

CCSS.8.G.B.7

If the hypotenuse of a right triangle is 13 and one leg is 5, what is the length of the other leg?

• 8

• 9

• 10

• 11

Tags

CCSS.8.EE.A.2

What is the square root of 144?

• 11

• 10

• 12

• 13

Tags

CCSS.5.NBT.A.2

When dealing with decimal side lengths, what is important to remember about the square root?

• It can be irrational

• It is always a whole number

• It is always less than 1

• It is always greater than 10

Tags

CCSS.8.G.B.7

If a leg of a right triangle is 8.3 meters and the hypotenuse is 12.6 meters, what is the approximate length of the other leg?

• 12.0 meters

• 11.1 meters

• 9.5 meters

• 10.2 meters

Tags

CCSS.8.G.B.7