2 years ago

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

Mathematics

2 answers:

Sveta_85 [38]2 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]2 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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