1. What is the locus of the 90 degree vertex of a right triangle having a given hypotenuse?
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2. Construct a right triangle given the hypotenuse and one leg.
3. Construct a right triangle given one leg and an altitude to the hypotenuse.
4. Construct a right triangle given the median and the altitude to the hypothenuse.
5. Construct a right triangle given the hypotenuse and the altitude to the hypotenuse.
6. Construct a right triangle given one leg and an adjacent acute angle.
7. Construct a right triangle given the hypotenuse and one acute angle.
8. Construct a right triangle given the two legs.
9. Construct a right triangle given the radius R of the circumcircle and one leg.
10. Construct a right triangle given the radius R of the circumcircle and an acute angle.
11. Construct a right triangle given the segments of the hypotenuse made by the bisector of the right angle.
12. Construct a right triangle given the segments cut off along the line of the hypotenuse by the EXTERNAL bisector of the right angle.
13. Construct a right triangle given an acute angle and the SUM of the lengths of the legs.