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CBSE Class 10 Answered

How to prove AE = 1/4AC
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Asked by malaysaha.80 | 05 Mar, 2019, 05:28: PM
answered-by-expert Expert Answer
By Tangent-secant theorem, we have,  AE×AB = AD2  .................(1)
 
AB = AC ( given)  and  AD = (1/2)AC because D is midpoint of AC.  Using these conditions, eqn.(1) is written as
 
AE×AC = (1/4)AC2   or    AE = (1/4)AC
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