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25. In the given figure, if AC = DC and CB = CE, then show that AB = DE. |
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Answer» hi friend It can be done by sas because as two sides are given and /_ acd=/_ecb it can be done by SAS congruence why because they had given 2 sides and the angle acd =angle ecb why because vertical opposite angles are equal suppose AC=x. to CD=x hogaor CE=y to CB=y hoga yadi AB ka add x+y hab DE ka add karte h to x+y ayega isase pata chalta h ki AB = DE hai AC+CB=AB ¹DC+CE=DE ²AC=DC ³CB=CE ⁴using 1,2,3,4,AB=DE given AC=DC, CB=CEwe know that if equal added to equals then answer will be equalAC+CB=DC+CEAB=DC hi friend It can be done by ses because as two sides are given and /_acd=/_ecb AB=DE is a .....(alternate angle) tested by sas congruence this is proved that about!=de we can see that......AC=DC and CB=CE....then add these both...AC+CB=DC+CE......=AB=DE AC=DC (i)BC=CE (ii) FROM FIRST AND SECONDAC+BC=DC+CEAB=DE HENCE PROVED AC=DCgivenCB=CE givenangleC=AngelC vertically opposite angeltriangles are congruent by SAS rule by CPCT rule triangles Are congruent AB=DE given ,AC=DC. ,CB=CESOLVE:- in ∆ADC and ∆EBCAC=DCCB=CE<ACD=<ECB ( by SAS)SO. AD= In triangle ACD and ECB ,Angle ACD= angle ECB (vertical angle) Now, Side-angle- |
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