How to determine the missing length in a figure using the Pythagorean Theorem ex

The video tutorial demonstrates how to apply the Pythagorean theorem to find the missing height of a triangle within a parallelogram. The instructor explains the problem setup, performs calculations using a calculator, and explores perfect squares to simplify the solution. The tutorial concludes with the final solution, emphasizing the importance of understanding geometric principles and mathematical calculations.

What is the main goal when analyzing the triangle within the parallelogram?

• To determine the type of triangle

• To find the area of the parallelogram

• To calculate the perimeter of the parallelogram

• To find the missing length of the triangle

Which theorem is used to find the height of the triangle?

• The Law of Sines

• The Pythagorean Theorem

• The Triangle Inequality Theorem

• The Law of Cosines

What is the first step in applying the Pythagorean theorem in this problem?

• Identify the hypotenuse and one leg

• Calculate the area of the triangle

• Determine the type of triangle

• Find the perimeter of the triangle

After calculating the height squared, what is the next step?

• Subtract the square of the hypotenuse

• Multiply the result by 2

• Add the squares of the legs

• Take the square root of the result

How is the final result simplified in the last section?

• By multiplying by a constant

• By adding the squares of the legs

• By checking for perfect squares

• By dividing by the hypotenuse