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To display the results, we create a form containing a label, two combo boxes, and three command buttons, as shown in Fig. 8.8. One combo box will be used to display the list of random numbers, in the order they were generated. The other will display the sorted list of numbers. The three command buttons will generate and sort the list, clear the list, and end the computation, respectively.

Statements 1. M is the midpoint of AC. 2. BM is a median of ^ACB. DM is a median of ^ACD. 3. Area (^AMB) area(^BMC), Area(^AMD) area(^DMC). 4. Area of quadrilateral ABMD equals area of quadrilateral CBMD.

11.10 What is the difference between static binding and dynamic binding 11.11 What is polymorphism

Reasons 1. Given 2. A line from a vertex of a triangle to the midpoint of the opposite side is a median. 3. A median divides a triangle into two triangles of equal area. 4. If equals are added to equals, the results are equal.

11.13 What is wrong with the following definitions: class X { protected: int a; > ; class Y : public X { public: void set(X x, int c) { x.a = > ;

The areas of similar polygons are to each other as the squares of any two corresponding segments. Thus if ^ABC ~ ^A B C and the area of ^ABC is 25 times the area of ^A B C , then the ratio of the lengths of any two corresponding sides, medians, altitudes, radii of inscribed or circumscribed circles, and such is 5:1.

Card class, a composite Hand class, and a composite Deck class for play-

First we implement a Card class:

9.11 Ratio of areas and segments of similar triangles Find the ratio of the areas of two similar triangles (a) if the ratio of the lengths of two corresponding sides is 3:5; (b) if their perimeters are 12 and 7. Find the ratio of the lengths of a pair of (c) corresponding sides if the ratio of the areas is 4:9; (d ) corresponding medians if the areas are 250 and 10.

enum Rank {two, three, four, five, six, seven, eight, nine, ten, jack, queen, king, ace}; enum Suit {clubs, diamonds, hearts, spades}; class Card { friend class Hand; friend class Deck; friend ostream& operatorcc(ostream&, const Card&); public: char rank0 { return rank-; } char suit0 { return suit-; } private: Card0 1 1; Card(Rank rank, Suit suit) : rank (rank), suit (suit) { }; Card(const Card& c) : rank-(c.rank- >, suit - (c.suit - ) { }; -Card0 1 1; Rank rank-; Suit suit-;

9 25 144 49

This class uses enumeration types for a card s 13 possible ranks and 4 possible suits. Anticipating the implementation of Hand and Deck classes, we declare them here to be friend classes to the Card class. This will allow them to access the private members of the Card class. Notice that all three constructors and the destructor are declared to be private. This will prevent any cards to be created or destroyed except by the Card's two friend classes. Here is the implementation of the overloaded insertion operator CC for cards:

We now consider the corresponding event procedures. In contrast to our customary practice, we will assign initial values to the control properties at run time, when the form is first loaded. Event procedure Form_Load contains the property assignments.

2 3 5

ostream& operator<c(ostream& { switch (card.rank-) { case two : ostr cc case three : ostr CC case four : ostr cc case five : ostr cc case six : ostr c< case seven : ostr CC case eight : ostr cc case nine : ostr cc case ten : ostr cc case jack : ostr cc case queen : ostr CC case king : ostr cc case ace : ostr cc

9.12 Proportions derived from similar polygons (a) The areas of two similar polygons are 80 and 5. If a side of the smaller polygon has length 2, find the length of the corresponding side of the larger polygon. (b) The corresponding diagonals of two similar polygons have lengths 4 and 5. If the area of the larger polygon is 75, find the area of the smaller polygon.

ostr, const Card& card)