Constructing a right-angled triangle with two given legs and hypotenuse on a given line

In this exercise you are given a point \(V\) on the line \(ST\) and two line segments \(WX\) and \(YZ\). Your task is to construct a right-angled triangle with one vertex at \(V\), the two sides adjacent to the right-angle having lengths equal to \(|WX|\) and \(|YZ|\), and with the hypotenuse on the line \(ST\).

In the diagram below you can see an example of a right-angled triangle \(\Delta PQR\) with one vertex at \(P\), hypotenuse on the line \(EF\) and \(|PQ| = |AB|\), \(|QR| = |CD|\).