How can you construct a right triangle, $\triangle ABC$ with a right angle in $C$, if you are given the hypotenuse, $c$, and the altitude of the point $C$?
I know it's very basic but I just can't seem to figure this out - I've tried everything I can think of, started from both $h_c$ and $c$ - but I keep getting stuck.
Apologies for the poor formatting, it's my first post here. I'm sorry for asking such a basic question. Thank you in advance.
EDIT: Thank you so much for the help! I know the guidelines about schoolwork questions, but I'm really struggling with construction so I thought I'd give it a shot. Again, I'm very grateful for the help, thank you Narasimham and Michael Burr for answering/commenting! You really did help! All the best!
Using a compass draw a semicircle with AB as diameter = 2r and next draw a straight line parallel to AB at given altitude h<r intersecting the semicircle at two points.
Join AC1,BC1, so there are two solution constructions. You can label second vertex as C2, (a,b) between AC2,BC2.