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Constructing a right triangle with given angle and hypotenuse (HA)

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 hypotenuse H and angle A
1 Draw a long horizontal line
2 Mark a point A towards the left end of that line.
3 Draw an arc across the given angle A.
4 Without changing the compass width, draw a similar arc on the line at A
5 Set the compass width to the width of the given angle A
6 With the same compass width, draw an arc across the previous one at A
7 Draw a long line from A through the point where the arcs intersect.
8 Set the compass width to the length of the given hypotenuse H
9 Without changing the compass, draw an arc at A across the line just drawn, creating point B
10 Set the compasses on B
11 Adjust the compass width to be below the horizontal line
12 Draw two arcs across the horizontal line, creating points P and Q
13 With the compass at any medium width, from P and Q draw intersecting arcs below the line.
14 Using the straight edge, draw a line from B through where the two arcs intersect
Done. ABC is a right triangle with the given hypotenuse H and given angle A

Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions