Question

explain herons formula​

Answer 1

s=a+b+c/2 where s=semi perimeter

are =

$\sqrt{s \times( s - a)(s - b)(s - c)}$

Answer 2

Heron's formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in 10 - 70 AD. You can use this formula to find the area of a triangle using the 3 side lengths.

Therefore, you do not have to rely on the formula for area that uses base and height. The picture below illustrates the general fro mu la where S represents the semi-perimeter of the triangle

Example 1(Straight forward example)

Use Heron's formula to find the area of triangle ABC, if side AB = 3 , BC = 2, CA =4

Step 1

Calculate the semi perimeter, S

S = (3+2+4) /2

S = 9/2 = 4.5

Step 2

Substitute S into the formula

Round answer to nearest tenth

Since Heron's formula relates the side lengths, perimeter and area of a triangle, you might need to answer questions the like the following example