Question

in the given figure, if triangleABE IS CONGRUENT TO TRIANGLEACD SHOW THAT TRIANGLE ADE. IS SIMILAR TO TRIANGLE ABC

Answer 1

HI Dear,

Please find below the solution to the asked query:

We form our diagram , As ( That is on our assumption as we do not have information regarding point 'D' and ' E ') :

In ∆ ADE and ∆ ABC

∠ ADE  =  ∠ ABC                              ( Given )

∠ DAE =  ∠ BAC                               ( Common angle )

So,

 ∆ ADE ~∆ ABC                              ( By AA rule )                             ( Hence proved )


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