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Constructing a right triangle given both leg lengths (LL)

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 two legs L1 and L2
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 one of the given legs. (Here L1).
4 With the compasses on C, mark an arc on each side of C, creating points P and A
5 Increase the compass width by about 25% and with the compasses on P, make an arc above the point C
6 With the same compass width, and with the compasses on A, make another arc above C
7 Draw a line from C through the point where the arcs intersect.
8 Set the compass width to the length of the other given leg (here L2)
9 With the compasses on C, draw an arc above C across the line, creating point B.
10 Using the straight edge, draw the line AB
Done. ABC is a right triangle with the given leg lengths
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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