Calculate hypotenuse using sum of two sides and angles  TOPIC_SOLVED

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.

Calculate hypotenuse using sum of two sides and angles  TOPIC_SOLVED

Postby gori on Mon Jan 13, 2014 3:07 am

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
 
Posts: 2
Joined: Mon Jan 13, 2014 2:40 am

Sponsor

Sponsor
 

Re: Calculate hypotenuse using sum of two sides and angles

Postby gori on Tue Jan 14, 2014 4:01 am

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



so for my example
gori
 
Posts: 2
Joined: Mon Jan 13, 2014 2:40 am

Re: Calculate hypotenuse using sum of two sides and angles

Postby little_dragon on Wed Jan 15, 2014 12:37 pm

gori wrote: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
:wave:
User avatar
little_dragon
 
Posts: 184
Joined: Mon Dec 08, 2008 5:18 pm


Return to Trigonometry