(i) He intends to marry a woman doctor who has plenty of money and a good medical practice. He wishes to have a fat wife so that she cannot run after him and catch him when he would make a mistake.
(ii) The person he actually marries is a thin reedy person with the gift of a sprinter.
(i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig). Show that
(i) ∆ ABE ≅ ∆ ACF
(ii) AB = AC, i.e., ABC is an isosceles triangle.

∆ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that ∠ BCD is a right angle.
