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

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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

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Triangle Centers

Circles, Arcs and Ellipses


Non-Euclidean constructions