Exploring the Pythagorean Theorem and Right Triangles

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 then explains the theorem, which states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the hypotenuse. The tutorial applies this theorem to a triangle with legs of lengths 6 and 8, setting up the equation 6^2 + 8^2 = X^2. It then simplifies the equation to find that X equals 10, emphasizing that the hypotenuse cannot be negative.

What theorem is used to solve for the hypotenuse in a right triangle?

• Euclidean theorem

• Theorem of calculus

• Algebraic theorem

• Pythagorean theorem

What is the formula stated by the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

If the legs of a right triangle are 6 and 8, what equation would you set up to find the hypotenuse?

• 6 / 8 = x^2

• 6 * 8 = x^2

• 6 + 8 = x^2

• 6^2 + 8^2 = x^2

What is the value of 6 squared?

• 36

• 12

• 18

• 48

What is the sum of 36 and 64?

• 90

• 100

• 110

• 120

What is the square root of 100?

• 20

• 15

• 10

• 5

Why do we not consider negative values for the length of the hypotenuse?

• Because length cannot be negative

• Because it is not mathematically possible

• Because it simplifies the calculation

• Because it is always positive by definition