Can you find the the various values of a non 45-45- 90 triangle if only given hypotenuse and right angle?

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billyfcash5n · Accepted Answer

If   R is the circumradius, a is the length of the side and   A the opposite angle, you have                                              a                                                          sin          ⁡          A                      =  2  RThis relates also to the fact that in a fixed circle, the angle subtended by a chord is constant on each arc cut off by the chord.Your problem is equivalent to &quot;the angle in a semicircle is a right angle&quot;.

Frederick Kramer · Accepted Answer

That&#039;s precisely the idea; you can have different degrees of the angles that aren&#039;t the right angle, and these correspond to different side lengths (a la law of sines). This ultimately means that you can have infinitely many triangles for a given hypotenuse. Another way you can think of it is that we need the triangle to satisfy the Pythagorean Theorem:                     A        B            ¯        2    +                    B        C            ¯        2    =                    A        C            ¯        2  ;  we&#039;re given             A      C        ¯  , but if I choose any value less than for             A      C        ¯               A      B        ¯  ,  then I can solve for             B      C        ¯  , showing that there are infinitely-many solutions.

Can you find the the various values of a non

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