Mathematics · Geometry

Consider a triangle ABC with sides AB = 25 cm, BC = 20 cm, and AC = 15 cm. Let P be a point on BC such that the line segment AP divides the triangle ABC into two parts of equal area. Consider the following statements: I. The line segment AP divides the area of the triangle ABC into two equal parts. II. The perimeter of the triangle APC is more than 46 cm. III. The area of the triangle APC is 75 square cm. Which of the statements given above are correct?