如何在Android画布中绘制一个填充三角形？

import android.content.Context;
import android.graphics.Canvas;
import android.graphics.Color;
import android.graphics.Paint;
import android.graphics.Path;
import android.util.AttributeSet;
import android.view.View;

public class TriangleView extends View {
    private Paint paint;

    public TriangleView(Context context) {
        super(context);
        init();
    }

    public TriangleView(Context context, AttributeSet attrs) {
        super(context, attrs);
        init();
    }

    public TriangleView(Context context, AttributeSet attrs, int defStyleAttr) {
        super(context, attrs, defStyleAttr);
        init();
    }

    private void init() {
        paint = new Paint();
        paint.setColor(Color.RED);
        paint.setStyle(Paint.Style.FILL);
    }

    @Override
    protected void onDraw(Canvas canvas) {
        super.onDraw(canvas);

        int width = getWidth();
        int height = getHeight();

        Path path = new Path();
        path.moveTo(width / 2, 0); // 顶点
        path.lineTo(0, height); // 左下角
        path.lineTo(width, height); // 右下角
        path.close(); // 闭合路径

        canvas.drawPath(path, paint);
    }
}