Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 10, Problem 10.12PE

(Geometry: the Triangle2D class) Define the Triangle2D class that contains:

  • Three points named p1, p2, and p3 of the type MyPoint with getter and setter methods. MyPoint is defined in Programming Exercise 10.4.
  • A no-arg constructor that creates a default triangle with the points (0, 0), (1,1), and (2,5).
  • A constructor that creates a triangle with the specified points.
  • A method getArea () that returns the area of the triangle.
  • A method getPerimeter () that returns the perimeter of the triangle.
  • A method contains (MyPoint p) that returns true if the specified point p is inside this triangle (see Figure 10.22a).
  • A method contains(Triang1e2D t) that returns true if the specified triangle is inside this triangle (see Figure 10.22b).
  • A method overlaps(Triangle2D t) that returns true if the specified triangle overlaps with this triangle (see Figure 10.22c).

Chapter 10, Problem 10.12PE, (Geometry: the Triangle2D class) Define the Triangle2D class that contains: Three points named p1, , example  1

Chapter 10, Problem 10.12PE, (Geometry: the Triangle2D class) Define the Triangle2D class that contains: Three points named p1, , example  2

Chapter 10, Problem 10.12PE, (Geometry: the Triangle2D class) Define the Triangle2D class that contains: Three points named p1, , example  3

FIGURE 10.22    (a) A point is inside the triangle, (b) A triangle is inside another triangle. (c) A triangle overlaps another triangle.

Draw the UML diagram for the class and then implement the class. Write a test program that creates a Triangle2D object t1 using the constructor new Triangle2D(new MyPoint(2.5, 2), new MyPoint(4.2, 3), new MyPoint(5, 3.5)), displays its area and perimeter, and displays the result of t1.contains(3, 3), r1.contains(new Triangle2D(new MyPoint(2.9, 2), new MyPoint(4, 1). MyPoint(1, 3.4))).and t1 .overlaps(new Triangle2D(new MyPoint(2, 5.5), new MyPoint (4. –3), MyPoint(2, 6.5))).

(Hint: For the formula to compute the area of a triangle, sec Programming Exercise 2. 19. To detect whether a point is inside a triangle, draw three dashed lines, as shown in Figure 10.23. If the point is inside a triangle, each dashed line should intersect a side only once. If a dashed line intersects a side twice, then the point must be outside the triangle. For the algorithm of finding the intersecting point of two lines, see Programming Exercise 3.25.)

Chapter 10, Problem 10.12PE, (Geometry: the Triangle2D class) Define the Triangle2D class that contains: Three points named p1, , example  4

Chapter 10, Problem 10.12PE, (Geometry: the Triangle2D class) Define the Triangle2D class that contains: Three points named p1, , example  5

FIGURE 10.23    (a) A point is inside the triangle, (b) A point is outside the triangle.

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Chapter 10 Solutions

Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)

Ch. 10.7 - Prob. 10.7.5CPCh. 10.8 - What are autoboxing and autounboxing? Are the...Ch. 10.8 - Show the output of the following code. public...Ch. 10.9 - What is the output of the following code? public...Ch. 10.10 - Suppose s1, s2, s3, and s4 are four strings, given...Ch. 10.10 - To create the string Welcome to Java, you may use...Ch. 10.10 - What is the output of the following code? String...Ch. 10.10 - Let s1 be Welcome and s2 be welcome Write the...Ch. 10.10 - Prob. 10.10.5CPCh. 10.10 - Prob. 10.10.6CPCh. 10.10 - Prob. 10.10.7CPCh. 10.10 - Prob. 10.10.8CPCh. 10.10 - What is wrong in the following program? 1public...Ch. 10.10 - Show the output of the following code: public...Ch. 10.10 - Show the output of the following code: public...Ch. 10.11 - Prob. 10.11.1CPCh. 10.11 - Prob. 10.11.2CPCh. 10.11 - Prob. 10.11.3CPCh. 10.11 - Prob. 10.11.4CPCh. 10.11 - Prob. 10.11.5CPCh. 10.11 - Suppose s1 and s2 are given as fot tows:...Ch. 10.11 - Show the output of the following program: public...Ch. 10 - (The Time class) Design a class named Time. The...Ch. 10 - (The BMI class) Add the following new constructor...Ch. 10 - (The MyInteger class) Design a class named...Ch. 10 - Prob. 10.4PECh. 10 - (Display the prime factors) Write a program that...Ch. 10 - (Display the prime numbers) Write a program that...Ch. 10 - Prob. 10.7PECh. 10 - Prob. 10.8PECh. 10 - (The Course class) Revise the Course class as...Ch. 10 - Prob. 10.10PECh. 10 - Prob. 10.11PECh. 10 - (Geometry: the Triangle2D class) Define the...Ch. 10 - (Geometry: the MyRectangle 2D class) Define the...Ch. 10 - (The MyDate class) Design a class named MyDate....Ch. 10 - (Geometry: the bounding rectangle) A bounding...Ch. 10 - (Divisible by 2 or 3) Find the first 10 numbers...Ch. 10 - (Square numbers) Find the first 10 square numbers...Ch. 10 - (Mersenne prime)A prime number is called a...Ch. 10 - (Approximate e) Programming Exercise 5.26...Ch. 10 - (Divisible by 5 or 6) Find the first 10 numbers...Ch. 10 - (Implement the String class) The String class is...Ch. 10 - (Implement the String class) The String class is...Ch. 10 - (Implement the Character class) The Character...Ch. 10 - (New string split method) The split method in the...Ch. 10 - (Implement the StringBuilder class) The...Ch. 10 - (Implement the StringBuilder class) The...
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