24b. Construct a Triangle Given the Length of the Altitude to the Base, the Difference of Base Angles and the Sum of the Lengths of the Other Sides
This Demonstration uses a conchoid to construct a triangle given the difference of the base angles and , the length of the altitude from the base and the sum of the lengths of the legs.[more]
The conchoid, shown in red, determined by and , intersects the straight line through that forms an angle with the horizontal line through in the points and . The triangle is the solution.[less]
While looking for different solutions to Plemelj's triangle construction problem (given the length of the base , the altitude and the difference ), we came across a more difficult problem: instead of , is given. The problem was solved by Nada Razpet using the conchoid of Nicomedes.