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what is the meaning of herons formula. It can be applied to any shape of triangle as long as we know its three side lengths. For a triangle with sides of length a b and c the area A s s a s b s c where s ½ a b c.
Heron S Formula Brilliant Math Science Wiki from brilliant.org
In general we use the formula 12 x b x h to find the area of the triangle here b is the base and h is the height. The term is named after Hero of Alexandria a Greek mathematician and engineer. So Herons Formula says first figure out this third variable S which is essentially the perimeter of this triangle divided by 2.
Unlike other triangle area formulae there is no need to calculate angles or other distances in the triangle first.
You can calculate the area of a triangle if you know the lengths of all three sides using a formula that has been known for nearly 2000 years. In geometry Herons formula sometimes called Heros formula named after Hero of Alexandria gives the area of a triangle when the length of all three sides are known. A formula giving the area of a triangle in terms of the lengths of its sides. The area of a triangle whose side lengths are a b a b a b and c c c is given by.
