Points A, B, and C are midpoints of the sides of right triangle DEF.



Which statements are true? Select three options. (The formula for the area of a triangle is $A=\frac{1}{2} b h$.)


A$BC = 6\text{ cm}$
B$AC = 5\text{ cm}$
C$BA = 4\text{ cm}$
DThe perimeter of triangle $ABC = 12\text{ cm}$.
EThe area of triangle $ABC$ is $\frac{1}{3}$ the area of triangle $DEF$.