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natali 33 [55]
3 years ago
5

Given: ABC , BD is an altitude to side AC, & D is a midpoint Prove: AB BC

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0

Answer:

Step-by-step explanation:

BD is an altitude                            given

D is midpoint of AC                       given

BD ⊥ AC                                         an altitude is a perpendicular segment

                                                       from a vertex to the opposite side

AD = DC                                         because BD is a perpendicular bisector

BD = BD                                          reflexive property

∠ADB ≅ ∠CDB                               because BD ⊥ AC

ΔADB ≅ ΔCDB                              SAS

AB ≅BC                                          corresponding sides of congruent triangles

                                                        are congruent

Over [174]3 years ago
5 0

Answer:

steps below

Step-by-step explanation:

BD⊥AC    ∠ADB = ∠CDB = 90°

D is mid-point: AD = CD

BD = BD

ΔADB ≅ ΔCDB

AB = BC

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