Pythagorean Theorem and Triangle Properties

This video tutorial explains how to find the area of a triangle using the formula 1/2 base times height. It identifies the height as 12 inches and uses the Pythagorean theorem to determine the base. The base is calculated to be 21 inches, and the area is found to be 126 square inches. The video concludes with a call to action to like, subscribe, and visit the website for more resources.

What is the main objective of the video?

• To understand the properties of angles

• To learn about different types of triangles

• To calculate the perimeter of a triangle

• To find the area of a triangle

What is the formula for the area of a triangle?

• Base plus height

• Base minus height

• One-half base times height

• Base times height

What is the height of the triangle in the video?

• 12 inches

• 20 inches

• 5 inches

• 16 inches

Why is finding the base of the triangle tricky?

• The base is equal to the height

• The base is longer than the height

• The base is not given directly

• The base is not perpendicular to the height

Which theorem is used to find the missing side of the triangle?

• Cosine rule

• Sine rule

• Triangle inequality theorem

• Pythagorean theorem

In the Pythagorean theorem, what does 'C' represent?

• The hypotenuse of the triangle

• The base of the triangle

• The height of the triangle

• The area of the triangle

What is the value of 'a' after solving the Pythagorean theorem?

• 20

• 5

• 16

• 12

What is the first step in using the Pythagorean theorem in this context?

• Identify the hypotenuse

• Subtract the height from the base

• Square the height and the hypotenuse

• Add the base and the height

What is the value of 12 squared?

• 144

• 12

• 256

• 400

What is the value of 20 squared?

• 144

• 256

• 400

• 20