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Build a Triangle III

Author:
Judah L Schwartz
Given: two perpendicular line segments (blue, green) whose lengths are fixed and known. Given also an angle of fixed size (purple). Is it {always, sometimes, never} possible to build a triangle such that one of the line segments forms a side and the other an altitude to that side drawn from the purple angle? What questions could / would you put to your student based on this applet?
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