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Example 4: Kamla has a triangular field with sides 240 m, 200 m, 360 m, where she grew wheat. In another triangular field with sides 240 m, 320 m, 400 m adjacent to the previous field, she wanted to grow potatoes and onions (see Fig. 12.11). She divided the field in two parts by joining the mid-point of the longest side to the opposite vertex and grew patatoes in one part and onions in the other part. How much area (in hectares) has been used for wheat, potatoes and onions? (1 hectare = 10000 m² )
Prerequisite
For every question of this chapter, it will be good to learn about the derivation of Heron’s formula (also known as Hero’s formula). This tutorial is about the derivation of this formula from the other formula of the area of triangle = 1/2 * base * height. It is not a mandatory to learn this derivation to solve the questions based on this formula but is a good to know concept in case you are interested in concepts of mathematics.
Heron’s Formula
Chapter 12 – Heron’s Formula
