Wednesday, March 18, 2015
HERONS FORMULA
Remember my last post about Euclid of Alexandria? Heres another mathematician Heron or Heron of Alexandria.(Theres a strong relation between Mathematics and Alexandria!) You have often come across this formula for the area of a triangle.
Here, s is the semiperimeter (half of the total perimeter) which can be derived by
where a, b and c are the three sides of the triangle.
A triangle with three sides a,b and c
This formula is mainly used in case of scalene triangles as the area of equilateral triangle can be easily derived by (3^1/2 a^2)/4 [The root sign could not be helped much by my keyboard.In case,its problematic to understand,the formula reads (root over three * a square) divided by 4. and that of an isosceles triangle can be derived by using the Pythagorean theorem.
Photo Credit : Wikipedia
Here, s is the semiperimeter (half of the total perimeter) which can be derived by
where a, b and c are the three sides of the triangle.
A triangle with three sides a,b and c
This formula is mainly used in case of scalene triangles as the area of equilateral triangle can be easily derived by (3^1/2 a^2)/4 [The root sign could not be helped much by my keyboard.In case,its problematic to understand,the formula reads (root over three * a square) divided by 4. and that of an isosceles triangle can be derived by using the Pythagorean theorem.
Photo Credit : Wikipedia
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