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dk_ch Share
Feb 10, 2018

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Given that in #DeltaABC,AB=AC#

#BX and CY # are bisectors of #/_ ABC and /_ ACB# respectively.
So # /_ ABC= /_ ACB#
#BY=4cm#, we are to find out length of #AX#

we have

#/_ ABC = /_ ACB #
#=>1/2/_ ABC = 1/2 /_ ACB #

#=>/_ ABX=/_ BCY#

( since #BX and CY # are bisectors of # /_ ABC and /_ ACB # respectively )

As we have #=>/_ ABX=/_ BCY#, the two circumferential equal angles of same circle, the length of the arcs on which these angles stand will be same .

Hence #arcBY=arcAX# and so chord#AX=#chord #BY=4cm#

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