Question

I want to know that can i prove heron's formula by applying pythagoras theorem

Answer 1

@vishweshshrimali5

Answer 2

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Answer 3

http://www.khanacademy.org/math/geometry/triangles/v/part-1-of-proof-of-heron-s-formula

Answer 4

yes, you can.

Answer 5

But how ?

Answer 6

The question only asks if you can or not prove heron's formula for area using Pythagoras theorem. It doesn't asks how...

Answer 7

:D so u not know ?

Answer 8

\(CD = \sqrt{b^{2}-h^{2}} , BD = \sqrt{c^{2}-h^{2}}, a = CD+BD,Area= ah/2\) Using these 4 statements, we can prove heron's formula. (additional info required: area = 0.5*base*height)

Hint: try finding \(h\) in terms of \(a,b,c\) from first three relations then substitute that in the area formula