Finding Missing Lengths in Triangle Area Problems

The video tutorial explains how to find the missing length of a triangle when given its area. It covers the formula for the area of a triangle, which is one-half base times height, and demonstrates how to work backwards to find either the base or the height. The tutorial provides step-by-step instructions for solving these problems, including an alternative method that involves multiplying both sides by two to eliminate fractions. The video emphasizes the importance of understanding the relationship between the base, height, and area of a triangle.

What is the formula for the area of a triangle?

• Area = base + height

• Area = 1/2 * base * height

• Area = base * height

• Area = 1/2 * (base + height)

If the area of a triangle is 50 and the base is 10, what is the height?

• 5

• 10

• 15

• 20

What is the correct step to find the height if the area and base are known?

• Add the base to the area

• Multiply the area by the base

• Divide the area by half the base

• Subtract the base from the area

How can you eliminate the fraction 1/2 in the area formula?

• Multiply both sides by 2

• Divide both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

What is the base of a triangle if the area is 5 and the height is 5?

• 5

• 20

• 2

• 10

How do you solve for the base when the area and height are given?

• Add the height to twice the area

• Multiply the area by the height

• Subtract the height from twice the area

• Divide twice the area by the height

What happens to the equation when you multiply both sides by 2 to eliminate the 1/2?

• The equation simplifies to base * height = 2 * area

• The equation simplifies to 1/2 * base * height = area

• The equation simplifies to base + height = area

• The equation simplifies to base - height = area

What is the result of multiplying both sides of the area equation by 2?

• Eliminates the fraction, simplifying the equation

• Creates a new fraction in the equation

• Doubles the area value unnecessarily

• Has no effect on the equation

If the area of the triangle is 22 and the height is 4, what is the base?

• 11

• 88

• 22

• 44

In the final example, if the area is doubled and the height is 4, what is the new base?

• 88

• 44

• 22

• 11