Question

in quadrilateral acbd ac=ad and ab bisects angle A show that angle abc=∆abd ... what can you say about bc and bd .............. plz help me it's very urgent.. plz

Answer 1

in ∆ACB and ∆ADB
AC=AD (given)
ANGLE CAB=ANGLE DAB (AB is the bisector)
AB=AB(common)
so,
∆ACB is congurent to ∆ADB (by SAS)
therefore,
BC=BD (by CPCT)

Answer 2

Solutions:

In △ABC and △ABD, we have

AC = AD ........... [Given]

∠CAB = ∠DAB ........ [Since, AB is the bisector of ∠DAC]

and,. AB = AB ............ [Common]

So, by SAS congruence rule, we obtain

△ABC ≅ △ABD

=> BC = BD .......... [By c.p.c.t.]