Calculate hypotenuse using sum of two sides and angles

[gori]

Hi,

I am currently trying to work out the correct formula to the this problem.
Given a right angled triangle, where I know, all angles and the sum of hypotenuse+opposite sides what is the hypotenuse?

Example Problem:
Angles: A=54, B=36, C=90
hypotenuse+opposite=20 (adjacent side is unknown)
hypotenuse=?

Hope that is clear. I know given angle A there would be a ratio of the two sides in a right angled triangle, just don't know the formula to calculate it.

Thanks
Gori

[gori]

I have come up with one that works for me.
where i = hypotenuse+opposite



so for my example

[little_dragon]

Given a right angled triangle, where I know, all angles and the sum of hypotenuse+opposite sides what is the hypotenuse?

Example Problem:
Angles: A=54, B=36, C=90
hypotenuse+opposite=20 (adjacent side is unknown)
hypotenuse=?

is "opposite" opposite A or B?
if A then a=20-h
sinA=a/h=(20-h)/h
plug in for sinA
solve for h