Solving a Right Triangle when only the angles are known?

[JungleJim74]

Hello. Can a Right Triangle be solved for the two sides and the hypotenuse
when only the angles of the right triangle are known? For example: The three
angles are 90 degrees, 32 degrees, and 58 degrees. Can this triangle be
solved for the length of the two sides and the length of the hypotenuse? TIA.

 

[Andrew Morton]

Hello. Can a Right Triangle be solved for the two sides and the
hypotenuse when only the angles of the right triangle are known? For
example: The three angles are 90 degrees, 32 degrees, and 58 degrees.
Can this triangle be solved for the length of the two sides and the
length of the hypotenuse?

No.

Andrew

 

[JungleJim74]

I know the answer to my question after giving some serious thought to it.
There are an infinite number of triangles with the given angles so at least
one side or the hypotenuse must be given to identify a unique triangle which
can then be solved.