📐 "Full Solution RD Sharma Ex 14.2 | Heron’s Formula Class 9 CBSE" Maths tricks Q1 to Q5

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📐 Heron’s Formula | Area of Triangle Using Three Sides
In this video, we will learn how to calculate the area of a triangle when all three sides are given using Heron’s Formula. This method is especially useful when height is not known.

👨‍🏫 What you'll learn:
✔ What is Heron’s Formula
✔ Step-by-step derivation and explanation
✔ Solved examples for better understanding
✔ Real-life applications of Heron’s Formula

🧮 Heron’s Formula:
If a triangle has sides a, b, and c, and s is the semi-perimeter,
then Area = √[s(s−a)(s−b)(s−c)]
where s = (a + b + c)/2


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area of equilateral triangles
area of isosceles triangle
area of right angle triangle
area of scealan triangle
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In this chapter, we learn Heron’s Formula, a special technique to calculate the area of a triangle when the lengths of all three sides are known, without using the height.

Heron’s Formula is given by:

\text{Area} = \sqrt{s(s - a)(s - b)(s - c)}

Where:

are the lengths of the triangle's sides

is the semi-perimeter of the triangle


This method is extremely useful in solving various geometrical problems, especially when the height is not known.

Exercise 14. 2 covers a variety of problems:

Finding the area of triangles using Heron’s Formula

Applying the formula in real-life word problems (like finding the area of a plot or a field)

Solving questions involving different triangle types (scalene, isosceles, etc.)


This exercise strengthens your understanding of: ✅ Triangle properties
✅ Application of square roots
✅ Use of formulas in word problems

📚 Mastering this exercise will help you build strong problem-solving skills and lay the foundation for geometry in higher classes