Solving Right Triangles with 3 Angles and Area - Warren

[Whalstib]

But I'm not getting it.

Is it possible to solve a right triangle give 3 angles and the area?

For instance 90-72-18, A=150.

What I'm trying to solve is a problem of squares to rectangles and vis versa using trigonometry. I'll use this to determine extension and contraction.

Thanks,

Warren

 

[disregardthat]

Law of Sines will give you the relation between the sides, hence the sides up to a constant. Use the formula for area using two sides and their internal angle to determine this constant.

 

[Whalstib]

I was going in that direction but have only used this to solve SAS etc problems.

So far I have a/.31=b/.95=c/1


Could you elaborate please..

thanks,

Warren

 

[Whalstib]

Oh I got it!

Thanks!

Warren

 

[jhae2.718]

Using $$A_{triangle} = \frac{1}{2}ab \sin(\gamma)$$, where a and b are sides of the triangle, and gamma is the angle between them should give you enough information to solve the triangle.

Edit: too late...