Information about Herons formula

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.

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=

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.

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.

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