Cardio alone may not provide you with the resistance needed to challenge your muscles, while strength training alone will not effectively burn fat. Combining both will burn the stubborn fat in your thighs and hips, and ensure a strengthened, muscular core is left. Some basic strength-training exercises include lunges, squats, and hip raises. Each of these has many variations you can incorporate into your workouts, to keep your thighs and hips challenged.
The correct form when doing a basic, forward lunge is to have your upper body straight, core engaged, chin up, and shoulders relaxed. Step forward with one leg, while lowering your hips and bending both knees to about a 90-degree angle. Your back knee should not touch the ground and your front knee should be directly above your ankle. Keep the weight on your heels as you push yourself back up into the starting position.
While, to perform a basic squat, start by positioning your feet to hip-width apart. Bend your knees while pushing your butt back behind you as you lower your hips to the ground. Your thighs should then be parallel to the floor. Finish your squat by extending your legs to return to the standing position.
For a hip raise, you will need to lie on the floor on your back with knees bent and both feet flat on the ground. Your arms should be around 45 degrees away from your body with your palms facing down. Brace your core and squeeze your glutes as you lift your hips off the ground. Stop and lower your body back down, once your body has formed a straight line from your knees to shoulders.