 # Right Triangle Constructions

1. What is the locus of the 90 degree vertex of a right triangle having a given hypotenuse? 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.

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