Question

Guys I am not able to understand Heron's Formula. Somebody explain it with an example. PLS

Answer 1

Answer:

HOPE THIS HELP YOU.........

Answer 2

The formula given by Heron about the area of a triangle is known as the hero's formula.

It state the :-

→ $\sf{\sqrt{s(s-a)\:(s-b)\:(s-c)}}$

★ Here a, b and c are the sides of triangle and s = semi-perimeter hence half the perimeter of triangle = a + b + c/2

Note :-

This formula is very useful where it's impossible for us to find the height of triangle easily.

Example :-

Let us try to calculate the area of a triangle ABC by using the formula.

→ let's take a = 40 m, b = 24 m, c = 32 m.

Solution :-

So that we have s = 40 + 24 + 32/2

→ 96/2

→ 48 m

s - a = (48 - 40) m = 8 m

s - b = (48 - 24) m = 24 m

s - c = (48 - 32) m = 16 m

Therefore, area of ABC

= $\sf{\sqrt{s(s-a)\:(s-b)\:(s-c)}}$

= $\sf{\sqrt{48\times8\times24\times16}{m}^{2}}$

= $\sf{\red{384}{m}^{2}}$