Using Pythagorean Theorem in 3D

Eddie the Magic Monk explains how to use Pythagoras' theorem to find the hypotenuse of a triangle in a 3D rectangular prism. He demonstrates both a long and a short method to calculate the hypotenuse, using given dimensions of the prism. The tutorial concludes with the calculation of the hypotenuse length as the square root of 174, approximately 13.19 units.

What is the main focus of this tutorial?

• Understanding the properties of a circle

• Finding the area of a rectangle

• Using Pythagoras to find the hypotenuse in 3D

• Calculating the volume of a prism

What shape is used to demonstrate the 3D concept?

• A pyramid

• A rectangular prism

• A sphere

• A cube

What is the purpose of drawing a line from the bottom left to the top right corner of the prism?

• To calculate the volume

• To find the area of the base

• To determine the length of the hypotenuse

• To measure the height

In the long method, what is the first step to find the length of the line?

• Calculate the area of the base

• Turn the line into a plane

• Find the diagonal of the base

• Measure the height

What is the variable used to represent the unknown length of the blue line?

• W

• Z

• Y

• X

How is the variable X determined in the tutorial?

• By measuring directly

• Using the Pythagorean theorem on the base triangle

• Using a ruler

• By estimation

What is the final expression for Y squared in the tutorial?

• Y squared = 7 squared + 5 squared + 10 squared

• Y squared = 5 squared + 10 squared

• Y squared = 7 squared + 5 squared

• Y squared = 10 squared + 7 squared

What is the calculated length of the hypotenuse in the 3D context?

• 15.78 units

• 14.56 units

• 13.19 units

• 12.34 units

What mathematical concept is primarily used in this tutorial?

• Trigonometry

• Algebra

• Pythagorean theorem

• Calculus

What is the significance of the number 174 in the tutorial?

• It is the area of the base

• It is the volume of the prism

• It is the sum of squares used to find Y

• It is the perimeter of the base