hello friends I am in the need of :

THE PROOF OF HERON'S FORMULA

Question

hello friends I am in the need of :

THE PROOF OF HERON'S FORMULA

mathslover · Answer

$$\huge{s=\sqrt{s(s-a)(s-b)(s-c)}}$$ 
where $$\huge{s=\frac{a+b+c}{2}}$$ and a , b and c are three sides of a triangle but what about the proof of this formula?

mathslover · Answer

If you can then please geometric proof also .. and algebraic proof

anonymous · Answer

http://en.wikipedia.org/wiki/Heron%27s_formula#Proof_using_the_Pythagorean_theorem

mathslover · Answer

sir can u explain me here ?

mathslover · Answer

@mukushla please help @Eyad ?

anonymous · Answer

http://jwilson.coe.uga.edu/emt725/Heron/HeronProofAlg.html

mathslover · Answer

Ok !! thanks for that link but i want to proove it myself i just need guidance

mathslover · Answer

@UnkleRhaukus and @nbouscal sir ? help me here please ...mukushla can u ?

mathslover · Answer

@lgbasallote

anonymous · Answer

wait is this formula accurate?

mathslover · Answer

oops i meant  : $$\huge{a=\sqrt{s(s-a)(s-b)(S-c)}}$$
a = area

anonymous · Answer

whats the BIG S?

moongazer · Answer

I think this will help you :) http://www.khanacademy.org/math/geometry/triangles/v/part-1-of-proof-of-heron-s-formula

mathslover · Answer

S--> s i meant the same k thansk @moongazer