Understanding Right Triangles and the Pythagorean Theorem

The video tutorial explains how to determine the length of a rope supporting the main mast of a fishing boat. The mast is 20 feet tall, and the rope attaches to the deck 15 feet from the mast's base. By visualizing the setup as a right triangle, the Pythagorean theorem is applied to find the rope's length, which is the hypotenuse. The calculation involves squaring the two known sides, adding them, and taking the square root to find the rope's length, which is 25 feet.

What is the height of the mast on the fishing boat?

• 30 feet

• 25 feet

• 20 feet

• 15 feet

How far from the base of the mast does the rope attach to the deck?

• 18 feet

• 15 feet

• 12 feet

• 10 feet

What shape is formed by the mast, deck, and rope?

• Right Triangle

• Rectangle

• Square

• Circle

What theorem is used to find the length of the rope?

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

• Triangle Inequality Theorem

Which side of the triangle is the hypotenuse?

• Deck

• Mast

• Rope

• Base

What is the square of the length of the rope?

• 500

• 225

• 625

• 400

What is the value of 15 squared?

• 625

• 400

• 300

• 225

What is the value of 20 squared?

• 225

• 400

• 300

• 625

What is the length of the rope?

• 25 feet

• 30 feet

• 20 feet

• 22 feet

What is the square root of 625?

• 22

• 30

• 25

• 20