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RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula

May 28, 2022 by Prasanna Leave a Comment

These comprehensive RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula will give a brief overview of all the concepts.

RBSE Class 9 Maths Chapter 12 Notes Heron’s Formula

Area of some plane figures :

We recall formulae for areas of some closed plane figures.

1. Area of Square = a2 where a is the side of square.

RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula

2. Area of Rectangle = l x b where l = length of rectangle, b = breadth of rectangle.

3. Area of Parallelogram = base x height
The height of a ||gm is the distance between its base and the side parallel to the base.

4. Area of rhombus ABCD = base x height
Or
Area of rhombus = \(\frac{1}{2}\) x product of diagonals
= \(\frac{1}{2}\) x AC x BD
Where AC and BD are diagonals.

RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula

5. Area of trapezium ABCD …
= \(\frac{1}{2}\) (AB+DC) x h
= (sum of parallel sides) x height
The height of a trapezium is the distance between its parallel sides.

6. Area of a triangle with given base and height is written as :
Area of ΔABC = \(\frac{1}{2}\) x base x height

7. Area of a right triangle = \(\frac{1}{2}\) x base x perpendicular

8. Area of an equilateral triangle = \(\frac{\sqrt{3}}{4}\) (side)2.

9. Area of an isosceles triangle = \(\frac{a \sqrt{4 b^{2}-a^{2}}}{4}\) units.
Where, b is the length of equal sides and a is the length of third side.

10. Perimeter and semi-perimeter of a triangle \(s=\frac{a+b+c}{2}\)
Where, denotes the semi-perimeter of ΔABC.

11. Area of a Triangle – by Heron’s Formula.
The famous formula given by Heron about the area of a triangle in terms of its three sides is also known as Heron’s formula.

RBSE Class 9 Maths Notes Chapter 12 Heron’s Formula

Consider a triangle ABC in which BC = ‘a’ units CA = ‘b’ units and AB – ‘c’ units (see figure).
Let S = semiperimeter, i.e. half the perimeter of the triangle.
Heron’s formula is stated as
Area of triangle \(A B C=\sqrt{s(s-a)(s-b)(s-c)}\) sq. units

RBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes 1

12. Area of a quadrilateral whose side and one diagonal are given, can be calculated by dividing the quadrilateral into two triangles and using the Heron’s formula.

CBSE provides Class 10 Maths Formulas Chapter wise in the PDF format as per latest NCERT Syllabus.

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