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CBSE Class 9 Answered

Asked by Snehal Ambekar | 14 Sep, 2015, 06:12: PM
answered-by-expert Expert Answer

Hi, 

Answer for Q 15.

In space increment AEF space and space increment CED angle straight E space equals angle straight E angle AFE space equals angle CDE increment AEF space approximately equal to space increment CED space space left parenthesis AA space property right parenthesis  therefore AE over CE equals AF over CD but space AF space equals CD space given therefore AE over CE equals AF over AF therefore AE space equals space CE..... left parenthesis straight i right parenthesis   In space increment AEC AE space equals space CE therefore angle straight A space equals space angle straight C  Consider space increment ACF space and space increment CAD angle straight C space equals space angle straight A AC space equals space AC AF space equals CD increment ACF space approximately equal to space increment CAD space left parenthesis SAS space property right parenthesis  therefore AD space equals space FC..... left parenthesis ii right parenthesis  From space left parenthesis straight i right parenthesis AE space equals EC AD space plus space DE space equals space CF space plus space FE AD space plus space DE space equals space AD space plus space FE.... left parenthesis from space left parenthesis ii right parenthesis right parenthesis DE space equals space FE  Hence space proved

Answered by | 14 Sep, 2015, 06:42: PM
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