Pythagorean Theorem Applications

This lesson covers solving word problems using Pythagorean triples. It presents an example where a string is stretched from the top of a flag pole to the ground, forming a right triangle. The lesson explains how to identify and use the appropriate Pythagorean triple to find the missing side of the triangle, demonstrating the solution step-by-step.

What is the main focus of this lesson?

• Solving algebraic equations

• Understanding Pythagorean triples

• Studying calculus

• Learning about geometry

In the word problem, what is the length of the string?

• 17 meters

• 20 meters

• 15 meters

• 10 meters

What is the height of the flag pole in the problem?

• 20 meters

• 15 meters

• 10 meters

• 17 meters

What is the purpose of finding the missing leg in the triangle?

• To calculate the area of the triangle

• To determine the distance from the base of the flag pole to the end of the string

• To measure the length of the hypotenuse

• To find the height of the flag pole

Which of the following is a common Pythagorean triple?

• 7, 10, 12

• 9, 12, 15

• 5, 12, 13

• 6, 8, 10

What are the lengths of the leg and hypotenuse in the given triangle?

• 8 m and 10 m

• 10 m and 15 m

• 15 m and 17 m

• 12 m and 13 m

Which of the following is NOT a Pythagorean triple?

• 3, 4, 5

• 6, 8, 11

• 8, 15, 17

• 5, 12, 13

Which Pythagorean triple includes the numbers 7 and 24?

• 7, 24, 26

• 7, 24, 22

• 7, 24, 25

• 7, 24, 23

What is the sum of the numbers in the Pythagorean triple 5, 12, 13?

• 28

• 20

• 30

• 25

Which number is the hypotenuse in the Pythagorean triple 5, 12, 13?

• 10

• 13

• 12

• 5