Heron’s Formula Class 9 Notes Maths - Chapter 12

Chapter: 12

What Are Heron’s Formula ?

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    Area

    Area of plane figure is a measure of region enclosed by it.

    Area Of Triangle

    • By Altitude : Area = (1/2)(b × h) b = base, h = altitude
    • By Heron’s Formula : Area =√s(s-a)(s-b)(s-c)

    where s =(a+b+c/2)

    (s = semiperimeter) and a, b, c are the sides of the triangle.

    Area Of Isosceles Triangle

    Area = (b/4) √4a2-b2

    Where, b = base

    a = equal sides

    Area Of Equilateral Triangle

    Area =(√3/4)×a2

    Where, a = equal sides

    Altitude (Height) Of Equilateral Triangle

    Altitude (h) =(√3/2)×a

    Where, a = side