Constructing a right triangle given one leg and hypotenuse with compass and straightedge

(For assistance see www.mathopenref.com/consttrianglehl.html)

1.Construct a right triangle with the leg L and hypotenuse H:

2. Repeat the above with the leg and hypotenuse given. If any problem arises in the construction, explain the cause of the problem.

(C) Copyright John Page 2007