Master How to determine the area of a triangle using Heron's formula

The video tutorial explains how to find the area of a triangle using Heron's formula, which is useful when only the side lengths are known. The instructor provides three examples, demonstrating the step-by-step process of calculating the semi-perimeter and using it in Heron's formula to find the area. The tutorial concludes with approximations of the results and emphasizes the straightforward nature of the method.

Why is Heron's formula used in the given examples?

• Because the base and height are known.

• Because only the side lengths are given.

• Because the triangle is equilateral.

• Because the triangle is right-angled.

What is the value of 's' in the first example with sides 4, 4, and 2?

• 6

• 5

• 7

• 4

What is the approximate area of the triangle with sides 4, 4, and 2?

• 4.123

• 3.873

• 6.789

• 5.678

In the second example, what is the value of 's' for the triangle with sides 14, 12, and 4?

• 18

• 15

• 12

• 10

What is the approximate area of the triangle with sides 14, 12, and 4?

• 20.5

• 22.49

• 26.1

• 24.3

For the final example, what is the value of 's' for the triangle with sides 11, 9, and 7?

• 14.5

• 13.5

• 15.5

• 12.5

What is the approximate area of the triangle with sides 11, 9, and 7?

• 31.4

• 32.8

• 29.7

• 28.3