Pythagorean Theorem and Triangle Properties

The video tutorial by Sandro Curió covers the Pythagorean Theorem, explaining its components and applications. It begins with an introduction to the theorem, identifying the hypotenuse and catheti in a right triangle. The tutorial then demonstrates how to apply the theorem through examples, including solving equations with unknowns. Special cases, such as isosceles triangles, are also addressed. The video concludes with a summary and encourages viewers to review the provided figure for a deeper understanding.

What is the side opposite the right angle in a right triangle called?

• Adjacent

• Base

• Height

• Hypotenuse

In a right triangle, what are the sides that are not the hypotenuse called?

• Bases

• Heights

• Catheti

• Diagonals

According to the Pythagorean Theorem, what is the relationship between the hypotenuse and the catheti?

• Hypotenuse equals the sum of the catheti

• Hypotenuse squared equals the sum of the catheti

• Hypotenuse equals the sum of the squares of the catheti

• Hypotenuse squared equals the sum of the squares of the catheti

If the hypotenuse of a right triangle is 10 cm, what is the length of the side opposite the right angle?

• 10 cm

• 5 cm

• 15 cm

• Cannot be determined

In the example problem, what is the value of x if the hypotenuse is 20 cm and the sum of the squares of the catheti is 400?

• 4 cm

• 8 cm

• 5 cm

• 6 cm

What is the height of an isosceles triangle with sides 10 cm, 10 cm, and base 8 cm?

• 4 cm

• 5 cm

• 6 cm

• 7 cm

How does the height of an isosceles triangle divide the base?

• Divides the base into three parts

• Does not divide the base

• Into two unequal parts

• Into two equal parts

What is the result of the square root of 84 in the example problem?

• 5√21

• 4√21

• 2√21

• 3√21

What should you do if you want to see the demonstration of the Pythagorean Theorem?

• Ask a friend

• Read a book

• Check the figure at the end of the video

• Watch the video again

What is the main concept demonstrated in the video?

• Circumference of a circle

• Area of a triangle

• Pythagorean Theorem

• Volume of a cube