Understanding Heron's Formula for Triangle Area

This video tutorial explains how to calculate the area of a triangle using Heron's formula. It begins with an introduction to the formula, followed by the calculation of the semi-perimeter (s) by adding the triangle's sides and dividing by two. The tutorial then demonstrates how to apply Heron's formula by substituting the values into the equation and simplifying to find the area. The final section shows the calculation of the square root to obtain the area in units squared.

What is the first step in using Heron's formula to find the area of a triangle?

• Calculate the perimeter of the triangle

• Multiply the side lengths of the triangle

• Subtract the smallest side from the largest side

• Find the semi-perimeter of the triangle

How do you calculate the semi-perimeter (s) of a triangle?

• Subtract the smallest side from the largest side

• Multiply the three sides and divide by 2

• Add the three sides and divide by 2

• Add the three sides and multiply by 2

In the example provided, what is the value of the semi-perimeter (s) for the triangle with sides 4, 4, and 6?

• 6

• 7

• 8

• 9

What operation is performed after calculating the product of s, (s-a), (s-b), and (s-c) in Heron's formula?

• Division

• Addition

• Subtraction

• Square root

What is the approximate area of the triangle with sides 4, 4, and 6 using Heron's formula?

• 8.5 units squared

• 7.94 units squared

• 7.5 units squared

• 6.5 units squared

Which of the following is closest to the square root of 63?

• 7.94

• 7.8

• 8.1

• 7.5