Question

In a ΔABC, AB=AC and D is the midpoint of BC.
a. Prove that ΔADB ≅ ΔADC b) Is ∠ B = ∠C? Give reasons

Answer 1

Answer:

(a) In triangle ABD and ACD,

AD=AD

AB=AC

BC=CD [D is mid-point at BC]

(b) By using part a of the solution, we get

∴ △ABD≅△ACD ... SSS criterion

Angle b = angle c by (c.p.c.t)

hope this will help you