Online education degree

 Problem 207. Right Triangle, Hypotenuse, Inradius, Exradius relative to the hypotenuse

In the figure below, BAC is a right triangle of hypotenuse BC = a. If r is the inradius, ra is the exradius relative to the hypotenuse, and the points D, E, F, and G are the points of tangency, prove that: a = DG = EF = ra - r. Post a comment.
 

Right triangle, hypotenuse
 

 

 

Home | Geometry | Search | Problems | 201-210 | Email | By Antonio Gutierrez