EXAMP 11 In the given figure, D and E arethe points on the base BC ofA

1.	EXAMP 11 In the given figure, D and E arethe points on the base BC ofAABC such that BD CEAD - AE and LADE- LAEDProve that AABE AACDSOLI Ä°TION
Answer» Given :BD = CE and AD = AE and ADE = AED, InABE and ACD AE = AD ( Given ) ADE = AED ( Given )AndBD = CE ( Given )We add both side DE and get BD + DE = CE + DEBE = DC Hence ABE ACD ( By SAS rule ) ( Hence proved )

EXAMP 11 In the given figure, D and E arethe points on the base BC ofAABC such that BD CEAD - AE and LADE- LAEDProve that AABE AACDSOLI Ä°TION

Answer»

Given :BD = CE and AD = AE and ADE = AED,

InABE and ACD

AE = AD ( Given )

ADE = AED ( Given )AndBD = CE ( Given )We add both side DE and get

BD + DE = CE + DEBE = DC

Hence

ABE ACD ( By SAS rule ) ( Hence proved )