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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.

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

Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions