Triangle with Angle,Side,Ratio known

[xynon]

Hello everybody,

After trying for many hours; I can't find a way to separate the unknown "d" value alone to one side of an equation.
It always "blends" into other values.


I would be grateful and amazed if anybody could show me a way out of this maze.

 

[Deleted member 4993]

Hello everybody,

After trying for many hours; I can't find a way to separate the unknown "d" value alone to one side of an equation.
It always "blends" into other values.


I would be grateful and amazed if anybody could show me a way out of this maze.

d²(1-z²) + 2db + (a² + b²) = 0

The above is a quadratic equation - solve it using your favorite method.

But it can be solved quicker - using the original equation [(d+b)² + (a² - e²) = 0].