How to use heron's formula to find the area of a triangle with SSS

The video tutorial introduces Heron's formula, a method to find the area of a triangle when only the side lengths are known, without needing angles. The instructor explains the limitations of previous methods that required angles or height and introduces Heron's formula as a solution. The process involves calculating a semi-perimeter (S) and then using it in the formula to find the area. The tutorial includes a step-by-step example calculation, emphasizing the importance of remembering the formula and understanding its application.

What is the main challenge addressed by Heron's Formula?

• Finding the length of the sides of a triangle

• Determining the height of a triangle

• Calculating the perimeter of a triangle

• Finding the area of a triangle without knowing the angles

Which method is traditionally used to find the area of a right triangle?

• Law of Cosines

• Law of Sines

• Base times height

• Heron's Formula

What is the semi-perimeter (S) in Heron's Formula?

• The difference between the longest and shortest side

• The sum of the angles divided by 2

• The sum of the side lengths divided by 2

• The product of the side lengths

What is the first step in applying Heron's Formula?

• Calculate the angles of the triangle

• Find the semi-perimeter (S)

• Determine the height of the triangle

• Use the Law of Cosines

Why is it important to remember the formula for S?

• It helps in finding the perimeter

• It is used to determine the type of triangle

• It is used to calculate angles

• It is not provided on the worksheet

How is the area of a triangle calculated using Heron's Formula?

• By multiplying the base and height

• Using the square root of S times (S-a) times (S-b) times (S-c)

• By adding the side lengths

• Using the Pythagorean theorem

In the example calculation, what is the value of S?

• 17.915

• 2.865

• 5.595

• 9.455