NCERT Solutions for Class 9 Maths Chapter 12 - Heron's Formula

Heron's formula is a mathematical formula named after the Hero of Alexandria; the formula states that the area of a triangle can be known only when three sides are determined. Using Heron's formula, solutions can find a quadrilateral's area by splitting the given quadrilateral into two triangles. The main formula for the triangle is- Area of Triangle=1/2*base*height. Steps to solve the Equilateral and Isosceles triangle have also been shown. The Heron's formula can be used when the height of the triangle is not present. Apart from calculating the area of the triangle, the ratios are also used to determine the triangle. This chapter also talks about the Area of a Quadrilateral and the formula to find it. 

• The chapter begins by describing Heron's formula, which was used to immortalize Hero of Alexandria's name.
• Heron's formula is simple to use and solve as the sequence of steps has been stated.
• Finding the areas of other triangles such as the equilateral triangle and isosceles triangle with unequal sides and equal sides is described in the chapter.
• The line segment joins the mid-point E to AD to C divides the triangle ACD into two equal parts equal in area.
• The formula is also used to find the area of the quadrilateral.
• The chapter further states that dividing the quadrilateral into triangular parts can be used to find the area of the triangle.
• The chapter mentions various examples, such as the soccer game field to state the theorems practically.