Finding the area of a triangle from a word problem

The video tutorial guides students through solving a problem involving the area of a triangle. It begins by introducing the problem and setting up the equation for the area of a triangle. The instructor explains how to express the base in terms of the height and uses substitution to solve for the height. Once the height is determined, the instructor demonstrates how to find the base using the known height. The tutorial emphasizes understanding the relationship between the base and height in the context of the area formula.

What is the formula for the area of a triangle?

• Area = 1/2 * base * height

• Area = 2 * base * height

• Area = base + height

• Area = base * height

If the base of a triangle is half of its height, how can the base be expressed in terms of height?

• Base = height

• Base = height / 2

• Base = 2 * height

• Base = 1/2 * height

Given the area of a triangle is 196 square millimeters, what equation can be used to find the height if the base is half the height?

• 196 = base * height

• 196 = 1/4 * height^2

• 196 = 2 * base * height

• 196 = 1/2 * base * height

What is the height of the triangle if the area is 196 square millimeters and the base is half the height?

• 112

• 28

• 14

• 56

After finding the height to be 28, what is the base of the triangle?

• 28

• 56

• 7

• 14