Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters.

Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)

BC = 6 cm
AC = 5 cm
BA = 4 cm
The perimeter of triangle ABC = 12 cm.
The area of triangle ABC is One-third the area of triangle DEF.