#include <math.h>

class RightTriangle
{
	double height;
	double base;
	double hypotenuse;
public:
	RightTriangle(void);
	RightTriangle(double setBase);
	RightTriangle(double setBase,double setHeight);
	RightTriangle(double setBase,double setHeight,double setHypotenuse);
	void setHeight(double setHeight);
	double getHeight(void);
	void setBase(double setBase);
	double getBase(void);
	void setHypotenuse(double setHypotenuse);
	double getHypotenuse(void);
	bool calculateSides(void);
	double getArea(void);
	double getPerimeter(void);
};
RightTriangle::RightTriangle()
{
	height = base = hypotenuse = 0;
}
RightTriangle::RightTriangle(double setBase)
{
	RightTriangle();
	RightTriangle::setBase(setBase);
}
RightTriangle::RightTriangle(double setBase,double setHeight)
{
	RightTriangle();
	RightTriangle::setBase(setBase);
	RightTriangle::setHeight(setHeight);
}
RightTriangle::RightTriangle(double setBase,double setHeight,double setHypotenuse)
{
	RightTriangle();
	RightTriangle::setBase(setBase);
	RightTriangle::setHeight(setHeight);
	RightTriangle::setHypotenuse(setHypotenuse);
}
void RightTriangle::setHeight(double setHeight)
{
	height = setHeight;
}
double RightTriangle::getHeight()
{
	if(!height) { calculateSides(); }
	return height;
}
void RightTriangle::setBase(double setBase)
{
	base = setBase;
}
double RightTriangle::getBase()
{
	if(!base) { calculateSides(); }
	return base;
}
void RightTriangle::setHypotenuse(double setHypotenuse)
{
	hypotenuse = setHypotenuse;
}
double RightTriangle::getHypotenuse()
{
	if(!hypotenuse) { calculateSides(); }
	return hypotenuse;
}
bool RightTriangle::calculateSides()
{
	if(base && height && hypotenuse && (hypotenuse > height) && (hypotenuse > base)) { return true; }
	if(base && height && !hypotenuse)
	{
		setHypotenuse
		(
			sqrt((base * base) + (height * height))
		);
		if (hypotenuse > base && hypotenuse > height) { return true; }
		else { return false; }
	}
	if(base && hypotenuse && !height)
	{
		setHeight
		(
			sqrt((hypotenuse * hypotenuse) - (base * base))
		);
		if (hypotenuse > base && hypotenuse > height) { return true; }
		else { return false; }
	}
	if (height && hypotenuse && !base)
	{
		setBase
		(
			sqrt((hypotenuse * hypotenuse) - (height * height))
		);
		if(hypotenuse > base && hypotenuse > height) { return true; }
		else { return false; }
	}
	return false;
}
double RightTriangle::getArea()
{
	if(!base || !height) { calculateSides(); }
	return 0.5 * base * height;
}
double RightTriangle::getPerimeter()
{
	if(!base || !height || !hypotenuse) { calculateSides(); }
	return base + height + hypotenuse;
}