Pythagorean Theorem Applications 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 approximately 13.19 units.

What is the main topic of this tutorial?

• Calculating areas

• Using Pythagoras in 2D

• Using Pythagoras in 3D

• Drawing 3D shapes

What shape is drawn to help visualize the problem?

• A sphere

• A cube

• A rectangular prism

• A pyramid

What is the length of the bottom horizontal line of the prism?

• 5 cm

• 12 cm

• 7 cm

• 10 cm

What is the purpose of turning the line into a plane?

• To simplify the problem

• To change the dimensions

• To visualize the triangle

• To make it easier to draw

What is the unknown line in the isolated triangle called?

• V

• Z

• W

• Y

Which theorem is used to find the unknown line X?

• Fermat's theorem

• Euclid's theorem

• Thales' theorem

• Pythagorean theorem

What is the equation used to find X squared?

• X squared = 5 squared + 10 squared

• X squared = 7 squared + 10 squared

• X squared = 10 squared + 7 squared

• X squared = 5 squared + 7 squared

What is the final expression for Y squared?

• Y squared = 5 squared + 10 squared

• Y squared = 10 squared + 7 squared

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

• Y squared = 7 squared + 5 squared

What is the final calculated length of the hypotenuse?

• 12.34 units

• 13.19 units

• 15.78 units

• 14.56 units