Pythagorean Theorem Applications

The video tutorial explains how to find the value of X in a right triangle using the Pythagorean theorem. It begins by introducing the problem and the theorem, which states that the sum of the squares of the legs equals the square of the hypotenuse. The tutorial then applies the theorem to a triangle with legs of lengths 6 and 8, setting up the equation 6^2 + 8^2 = X^2. By simplifying, it finds that X^2 = 100, and taking the square root gives X = 10. The tutorial emphasizes that X is positive as it represents a length.

What is the main goal of the problem discussed in the video?

• To calculate the perimeter of a square

• To determine the value of X

• To measure the angles of a triangle

• To find the area of a triangle

Which theorem is used to solve the problem in the video?

• Fundamental Theorem of Calculus

• Binomial Theorem

• Pythagorean Theorem

• Theorem of Relativity

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

• The length of one leg

• The length of the hypotenuse

• The area of the triangle

• The perimeter of the triangle

What are the lengths of the legs in the given right triangle?

• 3 and 4

• 9 and 12

• 6 and 8

• 5 and 7

What is the result of adding the squares of the legs in the problem?

• 144

• 64

• 100

• 72

What is the value of X after solving the equation?

• 8

• 9

• 12

• 10

Why is the negative value of X not considered in the solution?

• Because it would make the equation incorrect

• Because negative numbers are not allowed

• Because X is a length and cannot be negative

• Because X is an angle