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

Who is the Pythagorean Theorem named after?

• Euclid

• Socrates

• Pythagoras

• Archimedes

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

• A leg of the triangle

• The hypotenuse

• The base

• The height

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

• 8

• 7

• 5

• 6

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

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

• 14.0

• 12.2

• 11.5

• 13.1

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

What is the square root of 144?

• 11

• 10

• 12

• 13

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

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