Understanding the Pythagorean Theorem

The video tutorial introduces a problem involving the sides of a right triangle and uses the Pythagorean theorem to find the integer value of the longest side. It explains the theorem's basics, demonstrates solving two example problems, and finally solves the initial problem using the quadratic formula. The tutorial emphasizes understanding the relationship between the sides of a right triangle and applying mathematical formulas to find missing values.

What is the longest side of a right triangle called?

• Base

• Height

• Hypotenuse

• Diagonal

In the Pythagorean theorem, what does 'c' represent?

• The area

• The hypotenuse

• The height

• The base

If one leg of a right triangle is 5 and the other is 12, what is the hypotenuse?

• 15

• 13

• 17

• 10

What is the value of x if the hypotenuse is 10 and one leg is 5?

• 5

• 8.66

• 7

• 9

What is the expression for the hypotenuse in the main problem?

• 5x

• 3x + 4

• 4x + 5

• 8x - 3

Which formula is used to solve the quadratic equation in the main problem?

• Quadratic formula

• Linear formula

• Cubic formula

• Exponential formula

What is the integer value of x found in the main problem?

• 3

• 4

• 2

• 5

What is the length of the side 5x when x is 4?

• 15

• 18

• 22

• 20

What is the length of the side 4x + 5 when x is 4?

• 19

• 20

• 21

• 22

What is the integer value of the longest side in the main problem?

• 28

• 27

• 29

• 30