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

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See also the animated version.

  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
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Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions