in the figure, ABC=ACB, show that ABD=ACE
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Question,
- In fig, If △ABE≅△ACD, show that △ADE is similar to △ABC
To proof,
- △ADE is similar to △ABC
Given,
- △ABE≅△ACD
So,AB=AC by CPCT. (1)
and AE=AD by CPCT.
⇒AD=AE (2)
Dividing (2) by (1)
AB/AA = AC/AA. (3)
Proof,
In △ADE and △ABC
∠A=∠A (common angle)
AB/AA = AC/AAE. from (3)
∴△ADE is similar to △ABC by SAS criterion.
Hence proved.
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