Question 52
Let $ABC$ be an isosceles triangle with $|AB| = |AC|$. The bisector of angle $ABC$ meets the side $AC$ at the point $D$.
a) Is the triangle $ABD$ isosceles whenever the triangle $BCD$ is isosceles?
b) Is the triangle $BCD$ isosceles whenever the triangle $ABD$ is isosceles?
a) Is the triangle $ABD$ isosceles whenever the triangle $BCD$ is isosceles?
b) Is the triangle $BCD$ isosceles whenever the triangle $ABD$ is isosceles?