Triangle Area and Properties

The video tutorial covers the calculation of the area of right triangles. It begins with an introduction to the topic and a review of the area formula for triangles, which is similar to that of parallelograms. The instructor explains the formula a = 1/2 * b * h or a = b * h / 2, where b is the base and h is the height. The tutorial includes three example problems, demonstrating how to label the triangle, substitute values into the formula, and calculate the area, ensuring to square the units. The video emphasizes understanding the base and height in different triangle orientations.

What was the previous lesson about before discussing the area of right triangles?

• Area of circles

• Area of parallelograms

• Volume of cubes

• Perimeter of rectangles

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

• A = 1/2 * B * H

• A = B * H

• A = B + H

• A = B / H

In the first example, what is the base of the triangle?

• 10

• 15

• 8

• 20

What is the final area of the triangle in the first example?

• 60 feet squared

• 80 feet squared

• 120 feet squared

• 100 feet squared

In the second example, what is the height of the triangle?

• 17.7

• 11.4

• 20.2

• 15.5

What is the area of the triangle in the second example?

• 100.89 cm squared

• 120.45 cm squared

• 200.34 cm squared

• 150.67 cm squared

In the third example, what is the base of the triangle?

• 6

• 12

• 10

• 8

What is the final area of the triangle in the third example?

• 24 inches squared

• 16 inches squared

• 32 inches squared

• 40 inches squared

Which two sides of a right triangle form the 90-degree angle?

• Base and hypotenuse

• Height and hypotenuse

• Base and height

• All three sides

What should you do if a triangle is tilted in a problem?

• Guess the base and height

• Use the hypotenuse as the base

• Turn the paper to identify the base and height

• Ignore the tilt and use any side as the base