Math, asked by 114musique, 4 months ago

in the figure, ABC=ACB, show that ABD=ACE

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Answered by Anonymous
1

Answer:

Here is your answer....

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Answered by Anonymous
1

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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