Heron's Formula for Calculating Areas of Triangles and Quadrilaterals

The video tutorial introduces different types of triangles and the traditional formula for calculating their area. It then presents a problem of calculating the area of a triangle when only the side lengths are known. The tutorial explains the derivation of Heron's formula, which allows for area calculation without needing the height, using only the side lengths and semi-perimeter. The video also demonstrates the application of Heron's formula to both triangles and quadrilaterals, providing examples and highlighting common mistakes.

In what year did the mathematician Heron contribute to the understanding of triangle areas?

What is the formula for calculating the area of a triangle using Heron's formula?

What mistake did the teacher mention regarding the calculation of the area of the flower?