Triangles' relation to Tangent

48 Views Asked by At

I saw an equation on my book which replaced $\tan (B/2)$ with $\sqrt{ s(s - b) /(s - a) (s - c) }$

How are they related?

1

There are 1 best solutions below

0
On BEST ANSWER

May be you meant this:

$$ {\displaystyle \displaystyle \tan \left({\frac {B}{2}}\right)={\sin({\frac {B}{2}}) \over \cos({\frac {B}{2}})}={\sqrt {{(s-c)(s-a)} \over {s(s-b)}}}} $$

A trig ratio cannot equal area of the triangle! Please see the book carefully.