Question

suppose ABC is an isosceles triangle with AB = AC; BD and CE are bisectors of ANGLE B and Angle C prove thatBD= CE

Answer 1

Answer:given: AB=AC

BD and CE are bisectors

Step-by-step explanation:

Proof=

In triangle ADB and AEC

AB= AC (given)

Angle A=angle A (common)

Angle ACE=angle ABD ( as ABC isosceles so angle B= angle C

And BD and CE are bisectors)

so triangle ABD congruent to triangle AEC by ASA criterion

And therefore BD=CE by (CPCT)