Understanding Pythagorean Theorem

This video tutorial explains how to use the Pythagorean Theorem to calculate the length of a triangle's side. It begins with an example of a right-angled triangle, providing the lengths of the base and hypotenuse. The process involves squaring these lengths, subtracting the squared values, and finding the square root to determine the unknown side. The tutorial also demonstrates the symbolic representation of the theorem and how to rearrange the formula to solve for the unknown side. Viewers are encouraged to practice with additional resources available online.

What is the first step in using the Pythagorean theorem to find a side of a triangle?

• Add the lengths of the sides

• Square the lengths of the sides

• Multiply the lengths of the sides

• Subtract the lengths of the sides

If the hypotenuse is 6.7 cm and one side is 3.2 cm, what is the next step after squaring these values?

• Add the squared values

• Divide the squared values

• Multiply the squared values

• Subtract the smaller squared value from the larger

What is the final step to find the unknown side after calculating the difference of squares?

• Divide the result by 2

• Add the squares

• Multiply the result by 2

• Take the square root of the result

What unit should the final answer be in if the given measurements are in centimeters?

• Inches

• Meters

• Millimeters

• Centimeters

In the symbolic form of the Pythagorean theorem, what does 'c' represent?

• The shortest side

• The longest side

• The hypotenuse

• Any side

How do you rearrange the Pythagorean theorem to solve for a side other than the hypotenuse?

• Subtract the square of the known side from the square of the hypotenuse

• Divide the square of the hypotenuse by the known side

• Add the squares of the other two sides

• Multiply the squares of the other two sides

What is the symbolic representation of 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

What should you do after finding the square root of the calculated value?

• Round to the nearest whole number

• Convert to a different unit

• Round to two decimal places

• Leave it as is

What is the purpose of practicing problems similar to the one in the video?

• To avoid using a calculator

• To get faster at calculations

• To understand the concept better

• To memorize the steps

Where can you find more resources for reviewing mathematics?

• Online forums

• School textbooks

• Mathemateg YouTube channel

• Local library