9-1 Area of a Triangle - GEOMETRY

The video tutorial explains how to calculate the area of a triangle. It begins with an introduction to the concept of triangle area, followed by an explanation of the base and height. The correct formula for calculating the area is clarified, and an example problem involving a right triangle is solved. The Pythagorean Theorem is used to find the base, and the area is calculated using the formula 1/2 base times height.

What is a triangle?

• A three-sided figure

• A four-sided figure

• A two-sided figure

• A five-sided figure

Which of the following is the correct formula for the area of a triangle?

• Base times height

• 1/2 base divided by height

• 1/2 base times height

• Base plus height

Why might some people prefer to write the area formula as 0.5 base times height?

• Because fractions can be intimidating

• Because it is a standard convention

• Because it is more accurate

• Because it is easier to remember

In a right triangle, what is the significance of the side opposite the right angle?

• It is the base

• It is the height

• It is the median

• It is the hypotenuse

Using the Pythagorean Theorem, what is the length of the base if the hypotenuse is 20 and the height is 12?

• 20

• 18

• 16

• 14