Answer:
See below.
Step-by-step explanation:
1) Statement: BM is a median of TK and BM is an altitude of ΔKBT
Reason: Given
2) M is the midpoint of TK
Reason: Definition of median
3) TM ≅ MK
Reason: Definition of midpoint
4) BM⊥TK
Reason: Definition of altitude
5) ∠BMT and ∠BMK are right angles
Reason: Definition of ⊥
6) ∠BMT ≅ ∠BMK
Reason: Right angles are ≅
7) BM ≅ BM
Reason: Reflective property of ≅
8) ΔBMT ≅ ΔBMK
Reason: SAS Congruent Triangles
9) BT ≅ BK
Reason: CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
Hope that helped! :) Proofs are a killer.
