8. Construct a Triangle Given the Lengths of Two Sides and the Length of the Altitude to One of Them
This Demonstration shows a construction of a triangle given the lengths and of the sides and and the length of the altitude from to .[more]
Draw a line segment of length , and let be the midpoint of .
Step 1: Draw the circle with center and radius . Measure out a point on at distance from .
Step 2: Extend to such that .
Since is a right-angled triangle and by construction, is the altitude to and has length .[less]
 D. S. Modic, Triangles, Constructions, Algebraic Solutions (in Slovenian), Ljubljana: Math Publishers, 2009 pp. 44.