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CBSE Class 9 Answered

In triangle ABC, AB = BC; angle B is half of angle A. Is AB > AC? Give reason for your answer.
Asked by Topperlearning User | 11 Aug, 2017, 08:51: AM
answered-by-expert Expert Answer

begin mathsize 12px style angle straight C equals angle straight A space space space space angles space opposite space to space equal space sides space are space equal
But space angle straight B equals fraction numerator angle straight A over denominator 2 end fraction space space space space space space space space space space Given
angle straight A greater than angle straight B
angle straight C greater than angle straight B space space as space space angle straight A equals angle straight C
AB greater than AC space space space space space Side space opposite space to space bigger space angle space is space longer
end style

Answered by | 11 Aug, 2017, 10:51: AM
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