Find formula of s in terms of a, b, cos(x)

Step-by-step explanation:

We want to find a formula for s in terms of a, b, and cos(x).

Let the point where s intersects AB be D.

Notice that s bisects ∠C. Then by the Angle Bisector Theorem:

We can find BD using the Law of Cosines:

Likewise:

From the first equation, cross-multiply:

And square both sides:

Substitute:

Distribute:

Simplify:

Divide both sides by s (s ≠ 0):

Isolate s:

Factor:

Therefore:

Factor:

Simplify. Therefore:

h df tyjgtyj ttd y ytkgfty ty

step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

w'x is 0.

hope it