1.  Construct an isosceles triangle whose base is equal in length (congruent to) the segment FG, and whose legs are congruent to AB. 
2.  (a)  Construct two isosceles triangles with base CD and legs AB, which share a common base,
as shown in the example. 
Example

(b)  The leg and base lengths are in the ratio of 1 : √2. What are the measures of all 6 interior angles in the finished construction? 

(c)  Confirm this by measuring them with a protractor, and explain this result. 