Finding X with 3 Sides of a Triangle

The video tutorial explains how to solve for X in a right triangle using the Pythagorean Theorem. It begins by setting up the problem, identifying the sides of the triangle, and applying the theorem to form an equation. The instructor then demonstrates how to solve the equation step-by-step, simplifying and isolating X. Finally, the solution is verified by substituting back into the original equation to ensure correctness.

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

• To calculate the area of the triangle

• To determine the value of X

• To find the length of the hypotenuse

• To find the perimeter of the triangle

Which theorem is used to solve for X in the right triangle?

• The Triangle Inequality Theorem

• The Law of Sines

• The Law of Cosines

• The Pythagorean Theorem

What is the result of expanding (X + 1) * (X + 1)?

• X^2 + X + 1

• X^2 + 2X

• X^2 + 2X + 1

• X^2 + 1

After simplifying the equation, what is the next step to solve for X?

• Multiply both sides by 2

• Subtract X^2 from both sides

• Divide both sides by 2

• Add X^2 to both sides

What is the final value of X after solving the equation?

• 11

• 13

• 12

• 10