what is the formula of heron's and explain it by using any example
Answers
Answer:
Heron's formula:- √s(s-a)(s-b)(s-c)
Step-by-step explanation:
here s=semi perimeter =a+b+c/2
a=first side
b=second side
c=third side
Answer:
Heron’s formula is one of the most important concepts used to find the area of a triangle when all the sides are known. Hero of Alexandra was a great mathematician who derived the formula for the calculation of the area of a triangle using the length of all three sides. It is also termed as Hero’s Formula. He also extended this idea to find the area of quadrilateral and also higher-order polygons. This formula has its huge applications in trigonometry such as proving the law of cosines or law of cotangents, etc. This is one of the important topics in class 9 chapter 12.
Heron’s or Hero’s Formula
According to Heron, we can find the area of any given triangle, whether it is a scalene, isosceles or equilateral, by using the formula, provided the sides of the triangle. Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by;
Heron's formula