Understanding the Pythagorean Theorem

This video tutorial explains how to determine the length of the hypotenuse of a right triangle using the Pythagorean Theorem. It covers the theorem's equation forms, identifies the triangle's sides, and demonstrates solving an example problem. The solution is simplified and verified, providing both exact and approximate results.

What is the Pythagorean Theorem used for?

• Calculating the area of a circle

• Determining the length of the hypotenuse in a right triangle

• Finding the volume of a cube

• Measuring the perimeter of a rectangle

Which side of a right triangle is the hypotenuse?

• The side opposite the right angle

• The shortest side

• Any side of the triangle

• The side adjacent to the right angle

In the Pythagorean Theorem, what do 'a' and 'b' represent?

• The lengths of the two legs

• The hypotenuse and one leg

• The perimeter of the triangle

• The angles of the triangle

What is the first step in solving for the hypotenuse using the Pythagorean Theorem?

• Multiply the lengths of the legs

• Add the lengths of the legs

• Square the lengths of the legs

• Subtract the lengths of the legs

What is the value of 4 squared?

• 20

• 16

• 12

• 8

How do you solve for 'x' after setting up the equation x^2 = 52?

• Subtract 52 from both sides

• Multiply both sides by 52

• Take the square root of both sides

• Add 52 to both sides

What is the simplified form of the square root of 52?

• 8 square root of 13

• 6 square root of 13

• 4 square root of 13

• 2 square root of 13

What is the approximate decimal value of the square root of 52?

• 6.5

• 7.2

• 8.1

• 9.0

Why do we only take the principal square root when solving for a length?

• Because it is a rule of algebra

• Because it is easier to calculate

• Because it gives a more accurate result

• Because lengths cannot be negative

What is a perfect square factor of 52?

• 6

• 5

• 4

• 3