In Java, write a class for a Triangle Object that contains,
Private instance variables:
- three doubles: a,b,c, representing the three sides of the Triangle
- constructor with three double as args, which are put into three instances variables
Public Instance Methods:
- getPerimeter: computes the perimeter of the triangle(the sum of the three sides), returns a double
- getArea: computes the area of the triangle using Heron's formula: Area = (s*(s-a)*(s-b)*(s-c))^0.5, where s = 0.5*(the triangle's perimeter), returns a double
- isARightTriangle: determines if the triangle satisfies c^2 = a^2 + b^2 (assume c is the longest side), returns a boolean(T/F)
(Note: Use Math.pow(double num, double power) from the Java Math class for exponents indicated by ^ or use Math.sqrt for the0.5 power)
public class Triangle {
private double a,b,c;
public Triangle(double a, double b, double c) {
this.a = a;
this.b = b;
this.c = c;
}
public double getPerimeter(){
return a+b+c;
}
public double getArea(){
double s = (a+b+c)/2.0;
return s*(s-a)*(s-b)*(s-c);
}
public boolean isARightTriangle(){
return Math.pow(a,2)+Math.pow(b,2)==Math.pow(c,2);
}
}


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