Showing posts with label herons. Show all posts
Showing posts with label herons. Show all posts
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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