Math, asked by Anonymous, 7 months ago

meri help karo...
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Answered by abhi199338
2

Answer:

answer is that question by a u abhi

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Answered by Anonymous
51

\bigstar\rm\blue{GIVEN}\bigstar

  • \rm\red{AC=CE,AB=AD}

  • \rm\blue{\angle{BAD}=\angle{EAC}}

\bigstar\rm\blue{TO\:PROVE}\bigstar

  • BC=DE.

Now, Taking \rm\green{\angle{ADC} as\:common\:and\:adding\: to\:\angle{BAD}=\angle{EAC}}

\implies\rm{\angle{BAD}+\angle{ADC}=\angle{EAC}+\angle{ADC}}

\implies\rm{\angle{BAC}=\angle{EAD}}....1

Now, in \rm\blue{\triangle{ABC}\:and\:\triangle{ADE}}

\implies\rm{AC=CE(GIVEN)}

\implies\rm{\angle{BAC}=\angle{EAD}}(From..1)

\implies\rm{AB=AD}(Given)

Hence,

\rm\blue{\triangle{ABC}\:and\:\triangle{ADE}} Congurent by SAS criteria

So,. BC= DE proved by CPCT.

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