# Constructing a right triangle given one leg and hypotenuse (HL)

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

After doing this Your work should look like this
Start with the given segment lengths for the hypotenuse (H) and the given leg (L).
1 Draw a long horizontal line
2 Mark a point C somewhere near the middle of that line.
3 Set the compass width to the length of the given leg L
4 With the compasses on C, mark an arc on each side of C, creating points P and A
5 Set the compass' width to the length of the given hypotenuse H.
6 With the compasses on P, make an arc above C
7 Without changing the compass width, move to A and make another arc over C, creating point B.
8 Using the straight edge, draw the lines BC and BA
Done. ABC is a right triangle with the given leg and hypotenuse length
While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at   patreon.com/mathopenref