Triangle Identities
 

Triangle Identities problem 1


In the semicircle with radius , draw two semicircles with radius in the ratio , as shown in the figure below.




Construct a common tangent to the inscribed semicircles. This tangent intersects the line on which the centres lie at the point . Use the radius to express the distance between points on smaller semicircles in which they are touched by a tangent.


 

material editor: Confidence Zigalobari