Pythagorean Theorem Applications

This video tutorial explains how to calculate the missing length of a leg in a right triangle using the Pythagorean theorem. It provides a detailed explanation of the theorem, followed by step-by-step examples to find missing legs and hypotenuses. The video also includes practice problems to reinforce learning and ensure understanding of the concepts.

What does the Pythagorean theorem relate in a right triangle?

• The areas of the squares on the sides

• The lengths of the sides

• The perimeter of the triangle

• The angles of the triangle

If the area of the hypotenuse square is 25 and one leg's square is 10, what is the area of the other leg's square?

• 15

• 10

• 5

• 20

In the first example, if one leg is 5 and the hypotenuse is 15, what is the area of the missing leg's square?

• 100

• 25

• 200

• 225

What is the estimated length of the missing leg in the first example?

• 14.1

• 14.5

• 15

• 13.5

In the second example, if one leg is 8 and the hypotenuse is 10, what is the length of the missing leg?

• 5

• 6

• 7

• 8

What is the first step in finding the missing hypotenuse when both legs are known?

• Multiply the squares of the legs

• Add the squares of the legs

• Divide the squares of the legs

• Subtract the squares of the legs

When finding a missing leg, what operation is performed after squaring the known values?

• Addition

• Multiplication

• Subtraction

• Division

In the practice example, if one leg is 5 and the hypotenuse is 8, what is the length of the missing leg?

• 6.2

• 7.5

• 6.8

• 5.5

In the second practice example, if one leg is 9 and the hypotenuse is 12, what is the length of the missing leg?

• 7.9

• 8.5

• 8.9

• 7.5