Show that triangle ABC is congruent to ACD...
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Step-by-step explanation:
Given,
△ABE≅△ACD
Hence,AB=AC by CPCT. .....(1)
and AE=AD by CPCT.
⇒AD=AE .....(2)
Dividing (2) by (1)
AB
AD
=
AC
AE
....(3)
In △ADE and △ABC
∠A=∠A (common angle)
AB
AD
=
AC
AE
from (3)
∴△ADE is similar to △ABC by SAS criterion.
Hence proved.
Answered by
0
Answer:
Step-by-step explanation:
Given,
△ABE≅△ACD
Hence,AB=AC by CPCT. .....(1)
and AE=AD by CPCT.
⇒AD=AE .....(2)
Dividing (2) by (1)
AB
AD
=
AC
AE
....(3)
In △ADE and △ABC
∠A=∠A (common angle)
AB
AD
=
AC
AE
from (3)
∴△ADE is similar to △ABC by SAS criterion.
Hence proved.
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