Question

Show that triangle ABC is congruent to ACD...
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Answer 1

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.

Answer 2

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.