Understanding the Pythagorean Theorem

The video tutorial revisits the Pythagorean theorem, explaining its application to right triangles. It covers the formula a² + b² = c², where a and b are the legs and c is the hypotenuse. Two examples are provided: one for finding the hypotenuse and another for finding a leg. The tutorial emphasizes the importance of identifying the hypotenuse as the longest side opposite the right angle. It also explains the process of solving for unknown sides using square roots and subtraction, depending on whether the hypotenuse or a leg is missing.

What type of triangles does the Pythagorean theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

In the Pythagorean theorem, what is the hypotenuse?

• One of the legs of the triangle

• The side adjacent to the right angle

• The shortest side of the triangle

• The side opposite the right angle

If the legs of a right triangle are 6 and 4, what is the length of the hypotenuse?

• 9

• 8

• 7.9

• 10

What is the approximate decimal value of the square root of 62?

• 7.8

• 7.9

• 8.0

• 8.1

In the second example, what is the length of the unknown leg if the hypotenuse is 15 and the other leg is 12?

• 10

• 11

• 8

• 9

What is the square of 15?

• 240

• 225

• 210

• 200

What operation is used to find a leg when the hypotenuse and the other leg are known?

• Division

• Addition

• Multiplication

• Subtraction

What is the square root of 81?

• 8

• 11

• 9

• 10

When the hypotenuse is missing, what operation is used with the legs?

• Subtraction

• Multiplication

• Addition

• Division

Which of the following is a correct representation of the Pythagorean theorem?

• a^2 + b^2 = c^2

• a + b^2 = c^2

• a^2 + b = c^2

• a^2 + b^2 = c