i.) Consider a circle K with diameter AB; with circle L tangent to AB and to K and with a circle M tangent to circle K, circle L and AB. Calculate the ration of the area of circle K to the area of circle M.
ii.) In triangle ABC,AB=AC and ∠CAB=80∘. If points D,E and F lie on sides BC,AC and AB, respectively and CE=CD and BF=BD, then find the size of ∠EDF. ratiogeometryrectanglegeometric transformationhomothetycircumcirclesymmetry