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RHS Criteria for Congruency

If D and E ar...

Question

If D and E are points on sides AB and AC respectively of triangle ABC such that BD = to CE. Prove that triangle ABC is isosceles.

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Solution

The statement simply NOT true.
In every triangle ABC ( isosceles and non-isosceles ) we can mark D and E on sides AB and AC respectively such that BD = CE.
The given data does not give that ABC is isosceles. ABC can be isosceles or non-isosceles.
Question need additional information to prove ABC is isosceles.

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