In rkt e is the midpoint of rk p is the midpoint of kt and m is the midpoint of rt rk = 12, em = 7.5, and mt = 9 which statements are true? choose all answers that are correct.

AT first we should know that: The line segment connecting the midpoints of  two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
In ΔRKT:
RK = 12, EM = 7.5, and MT = 9

E is the midpoint of RK

P is the midpoint of KT

M is the midpoint of RT
So, EP // RT and EP = 0.5 RT = MT = 9
And MP // RK and MP = 0.5 RK = 0.5 *12 = 6
 And EM // KT and EM = 0.5 KT = 7.5 ⇒⇒ KT = 15
P is the midpoint of KT ⇒⇒⇒ KP = PT = 7.5

∴ EP = 9  ,   MP = 6   ,  PT = 7.5   and   KT = 15

So, The correct choices are (3) and (4)
PT = 7.5   and   KT = 15