Constructing a right triangle given both leg lengths (LL)

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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 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

Other constructions pages on this site




Right triangles

Triangle Centers

Circles, Arcs and Ellipses


Non-Euclidean constructions