2. i)area=1/2 (b x h)
Let there be a scalene triangle, the lengths of its sides are
known but the height is not known. To find its area none of
above listed formulae is applicable. In fact, we require the
height corresponding to a base. But we do not have any
clue for the same. Heron , an encyclopedic writer in
Applied Mathematics gave a formula for finding are of
triangle in terms of lengths of its three sides as discussed in
next slide.
3. o We can calculate the area of a triangle if we know the
lengths of all three sides, using a formula that has
been know for nearly 2000 years.
o It is called "Heron's Formula" after Hero of Alexandria
o The formula can be written as :
o S=
4.
5. Herons formula can be used to measure the area of a
triangle whose sides are given. It helps you to find the area
of a triangle where the height is not given. This includes
scalene, isosceles and equilateral triangles
It can be used in our daily life in the following ways. (i) When we buy a piece of land we can find its area by
using herons formula
(ii) Imagine someone gave you a triangular figure(it can be
2d or 3d) now u can find its area by just applying herons
formula.
6. Example : If a farmer wishes to find the area of his
field which is in shape of quadrilateral. He needs to
divide the quadrilateral in triangular parts and he uses
the Heron’s formula for the area of a triangular part.
