Real-World Applications of the Pythagorean Theorem

The video tutorial teaches how to apply the Pythagorean theorem to solve various real-world problems. It covers examples like finding the length of a ladder, calculating distances in a baseball diamond, determining the maximum length of a zipline, and more. Each problem is broken down step-by-step, demonstrating how to set up and solve equations using the theorem.

What is the main learning target of this lesson?

• To calculate areas of triangles

• To memorize the Pythagorean theorem

• To solve real-world problems using the Pythagorean theorem

• To draw complex geometric shapes

If a window is 16 ft above the ground and the ladder is placed 12 ft from the wall, how long should the ladder be?

• 24 ft

• 20 ft

• 18 ft

• 22 ft

In a baseball diamond, if each base is 90 ft apart, how far does the second baseman throw the ball to home plate?

• 127 ft

• 100 ft

• 90 ft

• 150 ft

What is the maximum length needed for a zipline if the platform is 25 ft tall and the pool is 40 ft long?

• 55 ft

• 50 ft

• 47 ft

• 45 ft

How long should a wheelchair ramp be if it needs to climb a height of 3 ft with only 10 ft of space available?

• 11.2 ft

• 10.4 ft

• 9.5 ft

• 12 ft

If a TV is advertised as 50 inches and is 35 inches wide, how tall is it?

• 30 inches

• 32 inches

• 36 inches

• 40 inches

A kite is at the end of a 40 ft line and is 10 ft behind the runner. How high is the kite?

• 40 ft

• 38.7 ft

• 35 ft

• 30 ft

For a roof frame that is 9 ft tall and 30 ft wide, how long are the diagonal pieces?

• 15 ft

• 17 ft

• 25 ft

• 20 ft