Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Deriving the Sine Rule

Write down two formulae for the area of Triangle ABC with sides a, b, and c, and deduce the sine rule from these two.

I'm assuming here the question is refering to the sine formulae for area and heron's formula, but it's really hard to derive because things get messy quickly with the heron's formula! Is there any simpler way to do things?

[don't mind with this question, a moderator can delete this post]

Last edited by Identity (2007-08-20 18:30:53)

reddog

Member

Registered: 2007-07-23

Posts: 7

Re: Deriving the Sine Rule

Let

be the area of triangle.
We have

.
Then