Question

prove that the bisectors of base angles of an isoceles triangle are equal​

Answer 1

Step-by-step explanation:

In ΔABC,

AB = AC ....[ Given ]

∴ ∠C = ∠B ......(i) [ Angles opp. to equal sides are equal]

⇒

12∠C=12 ∠B

⇒ ∠BCF = ∠CBE ...(ii)

In ΔBCE and ΔCBF,

∠C = ∠B ...[ From (i) ]

∠BCF = ∠CBE ...[ From (ii) ]

BC = BC ...[ Common ]

∴ ΔBCE ≅ ΔCBF ...[ AAS ]

⇒ BE = CF ...[ c. p.c.t ]