Question

In Heron’s formula, which is used to find area of triangle, what is represented by ''? ​

Answer 1

Answer:

Heron's formula - UNDEROOT S(S-A)(S-B)(S-C)

Step-by-step explanation:

Answer 2

Answer:

Heron's Formula for Calculating the Area of a Triangle

Sides Lengths A = B = C = or Area of Triangle = S = (A+B+C)/2

Step-by-step explanation:

To find the area of a triangle using Heron’s formula, we have to follow two steps:

The first step is to find the value of the semi-perimeter of the given triangle.

S = (a+b+c)/2

The second step is to use Heron’s formula to find the area of a triangle.

Let us understand that with the help of an example.

Example: A triangle PQR has sides 4 cm, 13 cm and 15 cm. Find the area of the triangle.

Semiperimeter of triangle PQR, s = (4+13+15)/2 = 32/2 = 16

By heron’s formula, we know;

A = √[s(s-a)(s-b)(s-c)]

Hence, A = √[16(16-4)(16-13)(16-15)] = √(16 x 12 x 3 x 1) = √576 = 24 sq.cm

This formula is applicable to all types of triangles. Now let us derive the area formula given by Heron.