Facts That Matter- Heron’s Formula Class 9 Notes | EduRev

Mathematics (Maths) Class 9

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Class 9 : Facts That Matter- Heron’s Formula Class 9 Notes | EduRev

The document Facts That Matter- Heron’s Formula Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9

Facts That Matter 

  • Area of a triangleFacts That Matter- Heron’s Formula Class 9 Notes | EduRev
  • Heron’s formula: For sides of a triangle being a, b, c, the semi-perimeterFacts That Matter- Heron’s Formula Class 9 Notes | EduRev and area of the triangle = Facts That Matter- Heron’s Formula Class 9 Notes | EduRev
  •  For finding area of a quadrilateral we divide it into various triangles. Then we use Heron’s formula to find the area of the triangles.

AREA OF TRIANGLES
We have already learnt that area of a triangle
Facts That Matter- Heron’s Formula Class 9 Notes | EduRev[altitude corresponding to that side (or height)]
Facts That Matter- Heron’s Formula Class 9 Notes | EduRev
Facts That Matter- Heron’s Formula Class 9 Notes | EduRev [altitude corresponding to base (or height)]

Facts That Matter- Heron’s Formula Class 9 Notes | EduRev

Thus, area of a triangleFacts That Matter- Heron’s Formula Class 9 Notes | EduRev

Note: 
Unit of measurement for area of any plane figure is taken as square metre (m2) or square centimetre (cm2), etc.

HERON’S FORMULA
When it is not possible to find the height of the triangle easily and measures of all the three sides are known then we use Heron’s formula, which is given by
Area of a triangle =Facts That Matter- Heron’s Formula Class 9 Notes | EduRev
where a, b and c are the sides of the triangle and s = semi-perimeter, i.e. half the perimeter of the triangle =Facts That Matter- Heron’s Formula Class 9 Notes | EduRev

AREA OF AN EQUILATERAL TRIANGLE
Let the side of the equilateral triangle be ‘a’.
Facts That Matter- Heron’s Formula Class 9 Notes | EduRev
⇒ Area of the triangle
Facts That Matter- Heron’s Formula Class 9 Notes | EduRev

Facts That Matter- Heron’s Formula Class 9 Notes | EduRev
Thus, area of an equilateral triangleFacts That Matter- Heron’s Formula Class 9 Notes | EduRev

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